Tensor dropout in a neural network

ABSTRACT

A method for selectively dropping out feature elements from a tensor in a neural network includes receiving a first tensor from a first layer of a neural network and obtaining a compressed mask for the first tensor. N mask bits of the compressed mask are received at each of N lanes of a reconfigurable computing unit and feature elements of the first tensor are respectively received at the N lanes. Feature elements are selectively dropped out from the first tensor to generate feature elements to use as at least part of a second tensor by selecting, based on a single mask bit of the compressed mask selected based on the lane, either a zero value or a feature element received at the lane for a feature element of the second tensor. The second tensor is propagated to a second layer of the neural network.

CROSS REFERENCE TO RELATED APPLICATIONS

This application is a Continuation of U. S. patent application Ser. No.17/337,126, now U.S. Pat. No. 11,256,987 B1, entitled “Memory EfficientDropout, with Reordering of Dropout Mask Elements,” filed on Jun. 2,2021 (Atty. Docket No. SBNV 1020-2) which is hereby incorporated byreference in its entirety herein for any and all purposes.

FIELD OF THE TECHNOLOGY DISCLOSED

The present technology relates to computer architectures, and can beparticularly applied to dropout implementations in machine learning andartificial intelligence applications.

INCORPORATIONS

The following are incorporated by reference for all purposes as if fullyset forth herein:

Prabhakar et al., “Plasticine: A Reconfigurable Architecture forParallel Patterns,” ISCA '17, Jun. 24-28, 2017, Toronto, ON, Canada;

Koeplinger et al., “Spatial: A Language And Compiler For ApplicationAccelerators,” Proceedings Of The 39th ACM SIGPLAN Conference OnProgramming Language Design And Implementation (PLDI), Proceedings ofthe 43rd International Symposium on Computer Architecture, 2018;

U.S. Non-provisional patent application Ser. No. 16/239,252, filed Jan.3, 2019, entitled, “VIRTUALIZATION OF A RECONFIGURABLE DATA PROCESSOR,”(Attorney Docket No. SBNV 1000-1);

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U.S. Non-provisional patent application Ser. No. 16/198,086, filed Nov.21, 2018, entitled, “CONFIGURATION UNLOAD OF A RECONFIGURABLE DATAPROCESSOR,” (Attorney Docket No. SBNV 1001-1B);

U.S. Non-provisional patent application Ser. No. 16/260,548, filed Jan.29, 2019, entitled, “MATRIX NORMAL/TRANSPOSE READ AND A RECONFIGURABLEDATA PROCESSOR INCLUDING SAME,” (Attorney Docket No. SBNV 1005-1);

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U.S. Non-provisional patent application Ser. No. 16/407,675, filed May9, 2019, entitled, “CONTROL FLOW BARRIER AND RECONFIGURABLE DATAPROCESSOR,” (Attorney Docket No. SBNV 1007-1);

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U.S. Non-provisional patent application Ser. No. 16/572,516, filed Sep.16, 2019, entitled, “EFFICIENT EXECUTION OF OPERATION UNIT GRAPHS ONRECONFIGURABLE ARCHITECTURES BASED ON USER SPECIFICATION,” (AttorneyDocket No. SBNV 1009-2);

U.S. Non-provisional patent application Ser. No. 16/744,077, filed Jan.15, 2020, entitled, “COMPUTATIONALLY EFFICIENT SOFTMAX LOSS GRADIENTBACKPROPAGATION,” (Attorney Docket No. SBNV 1010-1);

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U.S. Non-provisional patent application Ser. No. 16/688,069, filed Nov.19, 2019, entitled, “LOOK-UP TABLE WITH INPUT OFFSETTING,” (AttorneyDocket No. SBNV 1013-1);

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U.S. Non-provisional patent application Ser. No. 16/572,527, filed Sep.16, 2019, entitled, “PERFORMANCE ESTIMATION-BASED RESOURCE ALLOCATIONFOR RECONFIGURABLE ARCHITECTURES,” (Attorney Docket No. SBNV 1016-2);

U.S. Non-provisional patent application Ser. No. 15/930,381, filed May12, 2020, entitled, “COMPUTATIONALLY EFFICIENT GENERAL MATRIX-MATRIXMULTIPLICATION (GeMM),” (Attorney Docket No. SBNV 1019-1);

U.S. Non-provisional patent application Ser. No. 16/890,841, filed Jun.2, 2020, entitled, “ANTI-CONGESTION FLOW CONTROL FOR RECONFIGURABLEPROCESSORS,” (Attorney Docket No. SBNV 1021-1);

U.S. Non-provisional patent application Ser. No. 16/922,975, filed Jul.7, 2020, entitled, “RUNTIME VIRTUALIZATION OF RECONFIGURABLE DATA FLOWRESOURCES,” (Attorney Docket No. SBNV 1026-1);

U.S. Non-provisional patent application Ser. No. 16/996,666, filed Aug.18, 2020, entitled, “RUNTIME PATCHING OF CONFIGURATION FILES,” (AttorneyDocket No. SBNV 1027-1);

U.S. Non-provisional patent application Ser. No. 17/23,15, filed Sep.16, 2020, “COMPILE TIME LOGIC FOR DETECTING STREAMING COMPATIBLE ANDBROADCAST COMPATIBLE DATA ACCESS PATTERNS” (Attorney Docket No. SBNV1022-1); and

U.S. Non-provisional patent application Ser. No. 17/031,679, filed Sep.24, 2020, “SYSTEMS AND METHODS FOR MEMORY LAYOUT DETERMINATION ANDCONFLICT RESOLUTION” (Attorney Docket No. SBNV 1023-1).

BACKGROUND

Reconfigurable processors can be configured to implement a variety offunctions more efficiently or faster than might be achieved using ageneral purpose processor executing a computer program. So calledcoarse-grain reconfigurable architectures (e.g. CGRAs) are beingdeveloped in which the configurable units in the array are more complexthan used in typical, more fine-grained field programmable gate arrays(FPGAs), and may enable faster or more efficient execution of variousclasses of functions. For example, CGRAs have been proposed that canenable implementation of energy-efficient accelerators for machinelearning and artificial intelligence workloads. See, Prabhakar, et al.,“Plasticine: A Reconfigurable Architecture for Parallel Patterns,” ISCA'17, Jun. 24-28, 2017, Toronto, ON, Canada.

In machine learning problems, regularization is the process of addinginformation in order to prevent overfitting. A reconfigurablearchitecture system that implements a neural network topology oftenemploys one or more regularization techniques. Dropout is a popularregularization technique used in neural network models, to preventoverfitting of data. Dropout can be implemented using dropout maskelements. It may be desirable to efficiently generate and/or efficientlystore the mask elements used for dropout.

BRIEF DESCRIPTION OF THE DRAWINGS

FIG. 1 is a system diagram illustrating a system including a host, amemory, and a reconfigurable data processor.

FIG. 2 is a simplified block diagram of a top-level network andcomponents of a CGRA (Coarse Grain Reconfigurable Architecture).

FIG. 3 is a simplified diagram of a tile and an array level networkusable in the configuration of FIG. 2 , where the configurable units inthe array are nodes on the array level network.

FIG. 3A illustrates an example switch unit connecting elements in anarray level network.

FIG. 4 is a block diagram illustrating an example configurable unit,such as a Pattern Compute Unit (PCU).

FIG. 5 is a block diagram illustrating an example configurable unit,such as a Pattern Memory Unit (PMU).

FIG. 6A illustrates a system to propagate an output tensor of a layer ofa neural network to a subsequent layer of the neural network.

FIG. 6B illustrates a system to output a first tensor by a first layerof a neural network, to implement dropout on the first tensor output bythe first layer to generate a second tensor, and propagate the secondtensor to a second layer of the neural network.

FIG. 6C illustrates a mask to be used to implement the dropout on thetensor of FIG. 6B.

FIG. 7A illustrates generation and compression of mask elements of themask of FIG. 6C.

FIG. 7B illustrates generation and flow of a compressed mask of FIG. 7A.

FIG. 7C illustrates application of a compressed mask to feature elementsof a tensor, to generate another tensor having one or more dropped-outfeature elements.

FIG. 8A illustrates an example tensor output by a layer of a neuralnetwork, where one or more feature elements of the tensor are to beselectively dropped out.

FIG. 8B illustrates a mask and a corresponding compressed mask forimplementing the dropout of feature elements of the tensor of FIG. 8A.

FIG. 8C illustrates sectioning a row of compressed mask elements in anupper array of compressed mask elements and a lower array of compressedmask elements.

FIG. 8D illustrates selective logical right shifting of compressed maskelements in each of the upper array and the lower array of compressedmask elements.

FIG. 8E illustrates a computing unit configured to implement dropout ona tensor output by a layer of FIG. 8A.

FIG. 8F illustrates logical right shift operations of an upper array anda lower array of a compressed mask within a computing unit.

FIG. 8G illustrates dropout operations of feature elements of the tensorof FIG. 8A, using a shifted upper array and shifted lower array of acompressed mask, within the computing unit of FIGS. 8E and 8F.

FIG. 9A illustrates an example tensor output by a layer of a neuralnetwork, where one or more feature elements of the tensor are to beselectively dropped out, and where individual feature elements comprises32 bits.

FIG. 9B illustrates a mask and a corresponding compressed mask forimplementing the dropout of feature elements of the tensor of FIG. 9A.

FIG. 9C illustrates sectioning a row of compressed mask elements in anupper array of compressed mask elements and a lower array of compressedmask elements.

FIG. 9D illustrates selective logical right shifting of compressed maskelements in each of the upper array and the lower array of compressedmask elements of FIG. 9C.

FIG. 9D1 illustrates a computing unit configured to implement a firstdropout cycle and a second dropout cycle on the tensor output by thelayer of FIG. 9A.

FIG. 9E illustrates a computing unit configured to implement a firstdropout cycle on a subset of feature elements of the tensor output bythe layer of FIG. 9A.

FIG. 9F illustrates logical right shift operations of the lower array ofthe compressed mask within the computing unit of FIG. 9E during thefirst dropout cycle.

FIG. 9G illustrates dropout operations of a subset of the featureelements of the tensor of FIG. 9A during the first dropout cycle.

DETAILED DESCRIPTION

The following description will typically be with reference to specificstructural embodiments and methods. It is to be understood that there isno intention to limit the technology to the specifically disclosedembodiments and methods but that the technology may be practiced usingother features, elements, methods and embodiments. Preferred embodimentsare described to illustrate the present technology, not to limit itsscope, which is defined by the claims. Those of ordinary skill in theart will recognize a variety of equivalent variations on the descriptionthat follows.

FIG. 1 is a system diagram illustrating a system including a host 120, amemory 140, and a reconfigurable data processor 110. In an example, thehost 120, unlike the reconfigurable data processor 110, cannot bereconfigured based on the application program being executed on the host120. Accordingly, the host 120 is also referred to as non-reconfigurablegeneral-purpose hardware, or simply as general hardware. Thus, the term“general hardware” implies that such hardware resources are notconfigurable to suit the needs of a program being executed thereon.

In contrast, the reconfigurable data processor 110 and one or morereconfigurable components therewithin (e.g., an array 190 ofconfigurable units) are referred to as “reconfigurable hardware”, as thereconfigurable data processor 110 and the one or more componentstherewithin are configurable and reconfigurable to suit the needs of aprogram being executed thereon, as will be discussed herein in furtherdetail in turn.

As shown in the example of FIG. 1 , the host 120 executes a compiler 122to compile applications, and a runtime logic 124 to execute the compiledapplications on the reconfigurable data processor 110. For example, thecompiler 122 compiles a high-level application and generates one or morecorresponding execution files, where the execution files includeconfiguration files or bit files (the terms configuration file and bitfile are used interchangeably here). The runtime logic 124 is configuredto load and execute the one or more configuration files on thereconfigurable data processor 110. The reconfigurable data processor 110is configured to process the configuration files and generatecorresponding outputs.

As shown in the example of FIG. 1 , the reconfigurable data processor110 includes the array 190 of configurable units and a configurationload/unload controller 195. The phrase “configuration load/unloadcontroller”, as used herein, refers to a combination of a configurationload controller and a configuration unload controller. The configurationload controller and the configuration unload controller may beimplemented using separate logic and data path resources, or may beimplemented using shared logic and data path resources as suits aparticular embodiment. In some embodiments, a system may include only aconfiguration load controller of the types described herein. In someembodiments, a system may include only a configuration unload controllerof the types described herein.

The processor 110 includes an external I/O interface 130 connected tothe host 120, and an external I/O interface 150 connected to the memory140. The I/O interfaces 130, 150 connect via a bus system 115 to thearray 190 of configurable units and to the configuration load/unloadcontroller 195. The bus system 115 may have a bus width capable ofcarrying one chunk of data, which for this example can be 128 bits(references to 128 bits throughout can be considered as an example chunksize more generally). In general, a chunk of the configuration file canhave a number N of bits of data, and the bus system can be configured totransfer N bits of data in one bus cycle, where N is any practical buswidth. A sub-file distributed in the distribution sequence can consistof one chunk, or other amounts of data as suits a particular embodiment.Procedures are described herein using sub-files consisting of one chunkof data each. Of course, the technology can be configured to distributesub-files of different sizes, including sub-files that may consist oftwo chunks distributed in two bus cycles for example.

To configure configurable units in the array 190 of configurable unitswith a configuration file, the host 120 can send the configuration fileto the memory 140 via the interface 130, the bus system115, and theinterface 150 in the reconfigurable data processor 110. Theconfiguration file can be loaded in many ways, as suits a particulararchitecture, including in data paths outside the configurable processor110. The configuration file can be retrieved from the memory 140 via thememory interface 150. Chunks of the configuration file can then be sentin a distribution sequence as described herein to configurable units inthe array 190 of configurable units in the reconfigurable data processor110.

The host 120 also executes a dropout selection logic 125, a maskgeneration logic 126, and a mask compression logic 127, each of whichwill be discussed herein in further detail in turn.

In an example, the memory 140 is within a chip that is different from achip comprising the reconfigurable data processor 110, and hence, thememory 140 is referred to herein as an off-chip memory. Similarly, thememory 128 is within a chip that is different from a chip comprising thereconfigurable data processor 110, and hence, the memory 128 is alsoreferred to herein as an off-chip memory. Thus, off-chip memory refersto the memory 140 and/or the memory 128, in some examples. In contrast,the reconfigurable array of units 190 comprises configurable memoryunits (such as PMUs illustrated in FIGS. 3 and 5 ), which are referredto herein as on-chip memory.

An external clock generator 170 or other clock signal sources canprovide a clock signal 175 or clock signals to elements in thereconfigurable data processor 110, including the array 190 ofconfigurable units, and the bus system 115, and the external data I/Ointerfaces.

FIG. 2 is a simplified block diagram of components of a CGRA (CoarseGrain Reconfigurable Architecture) processor. In this example, the CGRAprocessor has 2 tiles (Tile1, Tile2). The tile comprises an array ofconfigurable units connected to a bus system, including an array-levelnetwork in this example. The bus system includes a top-level networkconnecting the tiles to the external I/O interface 205 (or any number ofinterfaces). In other embodiments, different bus system configurationsmay be utilized. The configurable units in each tile are nodes on thearray level network in this embodiment.

Each of the two tiles has 4 AGCUs (Address Generation and CoalescingUnits) (e.g. MAGCU1, AGCU12, AGCU13, AGCU14). The AGCUs are nodes on thetop-level network and nodes on the array-level networks, and includeresources for routing data among nodes on the top-level network andnodes on the array-level network in each tile.

Nodes on the top-level network in this example include one or moreexternal I/O, including the interface 205. The interfaces to externaldevices include resources for routing data among nodes on the top-levelnetwork and external devices, such as high-capacity memory, hostprocessors, other CGRA processors, FPGA devices and so on, that areconnected to the interfaces.

One of the AGCUs in a tile is configured in this example to be a masterAGCU (M AGCU), which includes an array configuration load/unloadcontroller for the tile. In other embodiments, more than one arrayconfiguration load/unload controller can be implemented and one arrayconfiguration load/unload controller may be implemented by logicdistributed among more than one AGCU.

The MAGCU1 includes a configuration load/unload controller for Tile1,and the MAGCU2 includes a configuration load/unload controller forTile2. In other embodiments, a configuration load/unload controller canbe designed for loading and unloading the configuration of more than onetile. In other embodiments, more than one configuration controller canbe designed for the configuration of a single tile. Also, theconfiguration load/unload controller can be implemented in otherportions of the system, including as a stand-alone node on the top-levelnetwork and the array-level network or networks.

The top-level network is constructed using top-level switches (211-216)connecting to each other as well as to other nodes on the top-levelnetwork, including the AGCUs, and the I/O interface 205. The top-levelnetwork includes links (e.g., L11, L12, L21, L22) connecting thetop-level switches. Data travel in packets between the top-levelswitches on the links, and from the switches to the nodes on the networkconnected to the switches. For example, top-level switches 211 and 212are connected by a link L11, top level switches 214 and 215 areconnected by a link L12, top level switches 211 and 214 are connected bya link L13, and top-level switches 212 and 213 are connected by a linkL21. The links can include one or more buses and supporting controllines, including for example a chunk-wide bus (vector bus). For example,the top-level network can include data, request and response channelsoperable in coordination for the transfer of data in a manner analogousto an AXI compatible protocol. See, AMBA® AXI and ACE ProtocolSpecification, ARM, 2017.

Top-level switches can be connected to AGCUs. For example, top-levelswitches 211, 212, 214 and 215 are connected to MAGCUL AGCU12, AGC U13and AGCU14 in the tile Tile1, respectively. Top-level switches 212, 213,215 and 216 are connected to MAGCU2, AGCU22, AGCU23 and AGCU24 in thetile Tile2, respectively.

Top-level switches can be connected to one or more external I/Ointerfaces (e.g., interface 205).

FIG. 3 is a simplified diagram of a tile and an array-level networkusable in the configuration of FIG. 2 , where the configurable units inthe array are nodes on the array-level network.

In this example, the array of configurable units 300 includes aplurality of types of configurable units. The types of configurableunits in this example include Pattern Compute Units (PCU), PatternMemory Units (PMU), switch units (S), and Address Generation andCoalescing Units (each including two address generators AG and a sharedCU). For an example of the functions of these types of configurableunits, see, Prabhakar et al., “Plasticine: A Reconfigurable ArchitectureFor Parallel Patterns”, ISCA '17, Jun. 24-28, 2017, Toronto, ON, Canada,which is incorporated by reference as if fully set forth herein. Each ofthese configurable units contains a configuration store comprising a setof registers or flip-flops that represent either the setup or thesequence to run a program, and can include the number of nested loops,the limits of each loop iterator, the instructions to be executed foreach stage, the source of the operands, and the network parameters forthe input and output interfaces.

Additionally, each of these configurable units contains a configurationstore comprising a set of registers or flip-flops that store a statususable to track progress in nested loops or otherwise. A configurationfile contains a bit-stream representing the initial configuration, orstarting state, of each of the components that execute the program. Thisbit-stream is referred to as a bit-file. Program load is the process ofsetting up the configuration stores in the array of configurable unitsbased on the contents of the bit file to allow all the components toexecute a program (i.e., a machine). Program Load may also require theload of all PMU memories.

The array-level network includes links interconnecting configurableunits in the array. The links in the array-level network include one ormore, and in this case three, kinds of physical buses: a chunk-levelvector bus (e.g., 128 bits of data), a word-level scalar bus (e.g., 32bits of data), and a multiple bit-level control bus. For instance, theinterconnect 321 between switch units 311 and 312 includes a vector businterconnect with a vector bus width of 128 bits, a scalar businterconnect with a scalar bus width of 32 bits, and a control businterconnect.

The three kinds of physical buses differ in the granularity of databeing transferred. In one embodiment, the vector bus can carry a chunkthat includes 16-Bytes (=128 bits) of data as its payload. The scalarbus can have a 32-bit payload, and carry scalar operands or controlinformation. The control bus can carry control handshakes such as tokensand other signals. The vector and scalar buses can be packet switched,including headers that indicate the destination of each packet and otherinformation such as sequence numbers that can be used to reassemble afile when the packets are received out of order. Each packet header cancontain a destination identifier that identifies the geographicalcoordinates of the destination switch unit (e.g. the row and column inthe array), and an interface identifier that identifies the interface onthe destination switch (e.g. North, South, East, West, etc.) used toreach the destination unit. The control network can be circuit switchedbased on timing circuits in the device, for example. The configurationload/unload controller can generate a header for each chunk ofconfiguration data of 128 bits. The header is transmitted on a headerbus to each configurable unit in the array of configurable units.

For a load operation, the configuration load controller can send thenumber N of chunks to a configurable unit in order from N−1 to 0. Forthis example, the 6 chunks are sent out in the most significant bitfirst order of Chunk 5→Chunk 4→Chunk 3→Chunk 2→Chunk 1→Chunk 0. (Notethat this most significant bit first order results in Chunk 5 beingdistributed in round 0 of the distribution sequence from the arrayconfiguration load controller.) For an unload operation, theconfiguration unload controller can write out the unload data of theorder to the memory. For both load and unload operations, the shiftingin the configuration serial chains in a configuration data store in aconfigurable unit is from LSB (least-significant-bit) to MSB(most-significant-bit), or MSB out first.

FIG. 3A illustrates an example switch unit connecting elements in anarray-level network. As shown in the example of FIG. 3A, a switch unitcan have 8 interfaces. The North, South, East and West interfaces of aswitch unit are used for connections between switch units. TheNortheast, Southeast, Northwest and Southwest interfaces of a switchunit are each used to make connections to PCU or PMU instances.

In an example, the switch unit is configurable. For example, when afirst configuration file is being executed, the switch unit caninterconnect a first PCU with a first PMU (e.g., such that the first PCUstores data in the first PMU). On the other hand, when a secondconfiguration file is being executed, the same switch unit caninterconnect the first PCU with a second PMU (e.g., such that the firstPCU stores data in the second PMU).

A set of 2 switch units in each tile quadrant have connections to anAddress Generation and Coalescing Unit (AGCU) that include multipleaddress generation (AG) units and a coalescing unit (CU) connected tothe multiple address generation units. The coalescing unit (CU)arbitrates between the AGs and processes memory requests. Each of the 8interfaces of a switch unit can include a vector interface, a scalarinterface, and a control interface to communicate with the vectornetwork, the scalar network, and the control network.

During execution of a machine after configuration, data can be sent viaone or more unit switches and one or more links between the unitswitches to the configurable units using the vector bus and vectorinterface(s) of the one or more switch units on the array-level network.

In embodiments described herein, a configuration file or bit file,before configuration of the tile, can be sent from the configurationload controller using the same vector bus, via one or more unit switchesand one or more links between the unit switches to the configurable unitusing the vector bus and vector interface(s) of the one or more switchunits on the array-level network. For instance, a chunk of configurationdata in a unit file particular to a configurable unit PMU 341 can besent from the configuration load/unload controller 301 to the PMU 341,via a link 320 between the configuration load/unload controller 301 andthe West (W) vector interface of the switch unit 311, the switch unit311, and a link 331 between the Southeast (SE) vector interface of theswitch unit 311 and the PMU 341.

In this example, one of the AGCUs is configured to be a master AGCU,which includes a configuration load/unload controller (e.g. 301). Themaster AGCU implements a register through which the host (120, FIG. 1 )can send commands via the bus system to the master AGCU. The master AGCUcontrols operations on an array of configurable units in a tile andimplements a program control state machine to track the state of thetile based on the commands it receives from the host through writes tothe register. For every state transition, the master AGCU issuescommands to all components on the tile over a daisy chained command bus(FIG. 4 ). The commands include a program reset command to resetconfigurable units in an array of configurable units in a tile, and aprogram load command to load a configuration file to the configurableunits.

The configuration load controller in the master AGCU is responsible forreading the configuration file from the memory and sending theconfiguration data to every configurable unit of the tile. The masterAGCU can read the configuration file from the memory at preferably themaximum throughput of the top-level network. The data read from thememory are transmitted by the master AGCU over the vector interface onthe array level network to the corresponding configurable unit accordingto a distribution sequence described herein.

In one embodiment, in a way that can reduce the wiring requirementswithin a configurable unit, configuration and status registers holdingunit files to be loaded in a configuration load process, or unloaded ina configuration unload process, in a component are connected in a serialchain and can be loaded through a process of shifting bits through theserial chain. In some embodiments, there may be more than one serialchain arranged in parallel or in series. When a configurable unitreceives, for example, the 128 bits of configuration data from themaster AGCU in one bus cycle, the configurable unit shifts this datathrough its serial chain at the rate of 1 bit per cycle, where shiftercycles can run at the same rate as the bus cycle. It will take 128shifter cycles for a configurable unit to load 128 configuration bitswith the 128 bits of data received over the vector interface. The 128bits of configuration data are referred to as a chunk. A configurableunit can require multiple chunks of data to load all its configurationbits.

The configurable units interface with the memory through multiple memoryinterfaces (150, FIG. 1 ). Each of the memory interfaces can be accessedusing several AGCUs. Each AGCU contains a reconfigurable scalar datapathto generate requests for the off-chip memory. Each AGCU contains FIFOs(first-in-first-out buffers for organizing data) to buffer outgoingcommands, data, and incoming responses from the off-chip memory.

The address generators AGs in the AGCUs can generate memory commandsthat are either dense or sparse. Dense requests can be used to bulktransfer contiguous off-chip memory regions, and can be used to read orwrite chunks of data from/to configurable units in the array ofconfigurable units. Dense requests can be converted to multiple off-chipmemory burst requests by the coalescing unit (CU) in the AGCUs. Sparserequests can enqueue a stream of addresses into the coalescing unit. Thecoalescing unit uses a coalescing cache to maintain metadata on issuedoff-chip memory requests and combines sparse addresses that belong tothe same off-chip memory request to minimize the number of issuedoff-chip memory requests.

FIG. 4 is a block diagram illustrating an example configurable unit 400,such as a Pattern Compute Unit (PCU), which is configured based onconfiguration files corresponding to one or more applications. Forexample, a first configuration file corresponding to a first applicationcan configure the PCU 400 in a first configuration when the firstconfiguration file is being executed by the reconfigurable dataprocessor 110, and a second configuration file corresponding to a secondapplication can configure the PCU 400 in a second configuration when thesecond configuration file is being executed by the reconfigurable dataprocessor 110, where the first and second configurations are different.

Configurable units in the array of configurable units includeconfiguration data stores 420 (e.g., serial chains) to store unit filescomprising a plurality of chunks (or sub-files of other sizes) ofconfiguration data particular to the corresponding configurable units.Configurable units in the array of configurable units each include unitconfiguration load logic 440 connected to the configuration data store420 via the line 422, to execute a unit configuration load process. Theunit configuration load process includes receiving via the bus system(e.g. the vector inputs), chunks of a unit file particular to theconfigurable unit, and loading the received chunks into theconfiguration data store 420 of the configurable unit.

The configuration data stores in configurable units in the plurality ofconfigurable units in this example comprise serial chains of latches,where the latches store bits that control the configuration of theresources in the configurable unit. A serial chain in a configurationdata store can include a shift register chain for configuration data anda second shift register chain for state information and counter valuesconnected in series.

A configurable unit can interface with the scalar, vector, and controlbuses using three corresponding sets of inputs and outputs (IO): scalarinputs/outputs, vector inputs/outputs, and control inputs/outputs.Scalar IOs can be used to communicate single words of data (e.g. 32bits). Vector IOs can be used to communicate chunks of data (e.g. 128bits), in cases such as receiving configuration data in a unitconfiguration load process, and transmitting and receiving data duringoperation after configuration across a long pipeline between multiplePCUs. Control IOs can be used to communicate control signals such as thestart or end of the execution of a configurable unit. Control inputs arereceived by the control block 470, and control outputs are provided bythe control block 470.

Each vector input is buffered using a vector FIFO in a vector FIFO block460 which can include one or more vector FIFOs. Each scalar input isbuffered using a scalar FIFO 450. Using input FIFOs decouples timingbetween data producers and consumers, and simplifies theinter-configurable-unit control logic by making it robust to input delaymismatches.

Input configuration data 410 can be provided to a vector FIFO as vectorinputs, and then be transferred to the configuration data store 420.Output configuration data 430 can be unloaded from the configurationdata store 420 using the vector outputs.

The CGRA uses a daisy-chained completion bus to indicate when aload/unload command has been completed. The master AGCU transmits theprogram load and unload commands to configurable units in the array ofconfigurable units over a daisy-chained command bus. As shown in theexample of FIG. 4 , a daisy-chained completion bus 491 and adaisy-chained command bus 492 are connected to the daisy chain logic493, which communicates with the unit configuration load logic 440. Thedaisy chain logic 493 can include the load complete status logic, asdescribed below. The daisy-chained completion bus is further describedbelow. Other topologies for the command and completion buses are clearlypossible but not described here.

A configurable unit includes multiple reconfigurable datapaths in theblock 480. A datapath in a configurable unit can be organized as amulti-stage (Stage 1 . . . Stage N), reconfigurable SIMD (SingleInstruction, Multiple Data) pipeline. Physical configuration of variousstages and components of the SIMD is based on the configuration filesloaded in the PCU, and they are reconfigurable based on theconfiguration files. The chunks of data pushed into the configurationserial chain in a configurable unit include configuration data for eachstage of each datapath in the configurable unit. The configurationserial chain in the configuration data store 420 is connected to themultiple datapaths in the block 480 via the lines 421.

A Pattern Memory Unit (e.g. PMU) can contain scratchpad memory coupledwith a reconfigurable scalar datapath intended for address calculation,along with the bus interfaces used in the PCU. PMUs can be used todistribute on-chip memory throughout the array of reconfigurable units.In one embodiment, address calculation within the memory in the PMUs isperformed on the PMU datapath, while the core computation is performedwithin the PCU.

FIG. 5 is a block diagram illustrating an example configurable unit 500,such as a Pattern Memory Unit (PMU), which is configured based onconfiguration files corresponding to one or more applications. Forexample, a first configuration file corresponding to a first applicationcan configure the PMU 500 in a first configuration when the firstconfiguration file is being executed by the reconfigurable dataprocessor 110, and a second configuration file corresponding to a secondapplication can configure the PMU 500 in a second configuration when thesecond configuration file is being executed by the reconfigurable dataprocessor 110, where the first and second configurations are different.

A PMU can contain scratchpad memory 530 coupled with a reconfigurablescalar data path 520 intended for address calculation (RA, WA) andcontrol (WE, RE) of the scratchpad memory 530, along with the businterfaces used in the PCU 400.

The bus interfaces can include scalar inputs, vector inputs, scalaroutputs and vector outputs, usable to provide write data WD. The datapath can be organized as a multi-stage reconfigurable pipeline,including stages of functional units FUs and associated pipelineregisters PRs that register inputs and outputs of the functional units.PMUs can be used to store distributed on-chip memory throughout thearray of reconfigurable units.

A scratchpad is built with multiple SRAM banks (e.g., 531, 532, 533,534). Banking and buffering logic 535 for the SRAM banks in thescratchpad can be configured to operate in several banking modes tosupport various access patterns. A computation unit as described hereincan include a Look-Up Table stored in the scratchpad memory 530, from aconfiguration file or from other sources. In a computation unit asdescribed herein, the scalar data path 520 can translate a section of araw input value I for addressing Look-Up Tables implementing a functionf(I), into the addressing format utilized by the SRAM scratchpad memory530, adding appropriate offsets and so on, to read the entries of theLook-Up Table stored in the scratchpad memory 530 using the sections ofthe input value I. Each PMU can include write address calculation logicand read address calculation logic that provide the write address WA,write enable WE, read address RA and read enable RE to the bankingbuffering logic 535. Based on the state of the local FIFOs 511 and 512and external control inputs, the control block 515 can be configured totrigger the write address computation, read address computation, orboth, by enabling the appropriate counters 516. A programmable counterchain 516 (Control Inputs, Control Outputs) and control block 515 cantrigger PMU execution.

This is one simplified example of a configuration of a configurableprocessor for implementing a computation unit as described herein. Theconfigurable processor can be configured in other ways to implement acomputation unit. Other types of configurable processors can implementthe computation unit in other ways. Also, the computation unit can beimplemented using dedicated logic in some examples, or a combination ofdedicated logic and instruction-controlled processors.

Dropout Implementation Using Mask

FIG. 6A illustrates a system 600 to propagate an output tensor 606 of alayer 604 of a neural network to a subsequent layer 608 of the neuralnetwork. Each of the layers 604, 608 implements a correspondingfunction. Examples of such functions include, but are not limited to,non-linearities like Rectified Linear Unit (ReLU) and its variants(e.g., leaky ReLU), convolution, transpose convolution, hyperbolictangent, sigmoid, and softmax, element-wise addition, matrixmultiplication (e.g., General Matrix Multiply (GeMM)), layernormalization (e.g., batch normalization), loss functions likecross-entropy, and tensor shape modifiers like transpose.

In an example, the tensor 606 output by the layer 604 comprises aplurality of feature elements, such as feature elements F11, F12, . . ., FPQ. Thus, the tensor 606 is a P×Q matrix of feature elements.Although a two-dimensional matrix of feature elements is illustrated inFIG. 6A, the tensor 606 can include a one, three, or higher dimensionalmatrix of feature elements. Each feature element comprises multiplebits, and some example values of example feature elements areillustrated in FIG. 6A. In an example and without limiting the scope ofthis disclosure, individual feature elements are represented in INT16format, and hence, each feature element Fij (i=1, . . . P, and j=1, . .. , Q) is represented using corresponding 16 binary bits, although otherdata representation formats can also be used.

In machine learning problems, regularization is the process of addinginformation in order to prevent overfitting. The regularization term, orpenalty, imposes a cost on the optimization function for overfitting thefunction or to make the optimal solution unique. Regularization iswidely used in the training phase of neural network models. Dropout is apopular regularization technique used in neural network models, toprevent overfitting of data. In an example, dropout is implementedper-layer in a neural network, and can be applied on one or more hiddenlayers and/or an input layer. FIG. 6B illustrates a system 602 to outputa first tensor 606 by a first layer 604 of a neural network, toimplement dropout on the first tensor 606 output by the first layer 604to generate a second tensor 607, and propagate the second tensor 607 toa second layer 608 of the neural network. Thus, in FIG. 6B, dropout isapplied to the system 600 of FIG. 6A.

As discussed with respect to FIG. 6A and as also illustrated in FIG. 6B,the layer 604 generates the tensor 606 comprising feature elements F11,. . . , FPQ. In an embodiment, the dropout is applied by randomly orpseudo-randomly selecting (or deterministically selecting) one or morefeature elements of the tensor 606, and forcing the selected featureelements to zero, where selection of feature elements for dropout willbe discussed herein in turn. In FIG. 6B, the feature elements selectedfor dropout are circled. Merely as an example, feature elements F12,F21, F24, and FP2 are selected for dropout. The tensor 607 is generatedfrom the tensor 606, by dropping out the selected feature elements F12,F21, F24, and FP2. Thus, after the dropout, each of the selected featureelements F12, F21, F24, and FP2 in the tensor 607 are zero. The valuesof the remaining feature elements, which are not dropped out, remain thesame in the tensors 606 and 608 (i.e., original values of the remainingfeature elements from the tensor 606 are retained in the tensor 607).

In an example, individual feature elements in both tensors 606 and 607are represented using the same data format, such as INT16 format, merelyas an example. Thus, after dropout, the dimensionality of thedropped-out feature elements does not change, and each of thedropped-out feature elements also has 16 bits, with each bit being azero, as illustrated.

In an embodiment, the dropout of various feature elements in the tensor606 is performed by applying a mask to the tensor 606. FIG. 6Cillustrates an example mask 620 to be used to implement the dropout onthe tensor 606 of FIG. 6B. In an embodiment, the mask 620 comprises aplurality of mask elements A11, . . . , APQ, for implementing dropout onthe tensor 606 comprising the plurality of feature elements. There is aone-to-one mapping between the mask elements Aij of the mask 620 and thefeature elements Fij of the tensor 606, where i=1, . . . , P, and j=1, .. . , Q. For example, for each feature element Fij of the tensor 606,there is a corresponding mask element Aij of the mask 620.

In an embodiment, the mask elements Aij of the mask 620 and the featureelements Fij of the tensor 606 are in the same data format. Merely as anexample, the mask elements Aij of the mask 620 and the feature elementsFij of the tensor 606 are in the data format INT16. Thus, in such anexample, each of the mask elements Aij of the mask 620 and the featureelements Fij of the tensor 606 have 16 bits.

In an embodiment, individual mask elements Aij represent either alogical zero or a logical one using 16 corresponding bits (i.e.,assuming data format INT16, for example). For example, some of the maskelements of the mask 620 have a value of 000 . . . 0001, and theremaining mask elements have a value of 000 . . . 000. Note thedifference in the LSBs (Least Significant Bits) in these two values. Forexample, the value of each of the mask elements A12, A21, A24, and AP2is 000 . . . 000 (i.e., LSB of 0), implying that corresponding featureelements F12, F21, F24, and FP2 from the tensor 606 are to be droppedout, as discussed with respect to FIG. 6B. The value of each of theremaining mask elements (such as mask elements A11, A13, A14, APQ) is000 . . . 001 (i.e., LSB of 1), implying that the corresponding featureelements F11, F13, F14, FPQ from the tensor 606 are not to be droppedout, as discussed with respect to FIG. 6B. In other embodiments, otherrepresentations may be used to indicate which elements to drop out.Merely as an example, in the INT16 format, 16 consecutive ‘1’ bits maybe used for a mask element to indicate that a corresponding featureelement is to be dropped out; and 16 consecutive ‘0’ bits may be usedfor a mask element to indicate that a corresponding feature element isto be retained (i.e., not dropped out). Generally, any two distinctvalues may be used to distinguish between mask elements that indicatescorresponding feature elements should be dropped out and correspondingfeature elements should be retained. These mask values may be comparedagainst their respective constants, and the results of the comparisonused to convert a mask element into the compressible format, or the maskelement may be directly compressed by generating a single ‘1’ or ‘0’ bitas appropriate.

FIG. 7A illustrates generation and compression of mask elements of themask 620 of FIG. 6C. In an embodiment, the dropout selection logic 125(also see FIG. 1 ) selects feature elements of the tensor 606 to bedropped out, and provides a dropout selection 702 to the mask generationlogic 126 (also see FIG. 1 ). In one example, the dropout selection 702provides the selection of the feature elements of the tensor 606 to bedropped out. In another example, the dropout selection 702 provides apercentage of the feature elements of the tensor 606 to be dropped out,and the mask generation logic 126 selects the feature elements to bedropped-out, based on the percentage.

In an embodiment, the percentage of the feature elements of the tensor606 to be dropped out can be a user-selectable parameter and/or can bespecified in the data flow graph associated with the application beingexecuted in the neural network. The percentage of the feature elementsof the tensor 606 to be dropped out can be any appropriate percentagebetween 0% and 100%. For example, the dropout selection logic 125 mayspecify that 5% of all the feature elements of the tensor 606 are to bedropped out. The dropout selection logic 125 and/or the mask generationlogic 126 can then select 5% of all the feature elements of the tensor606 for dropping out. The selection of the 5% of the feature elementscan be random, pseudo-random, pre-specified, and/or can be based on aprobability distribution (e.g., in accordance with the Poissondistribution).

Thus, the mask generation logic 126 is aware of the selection of thefeature elements of the tensor 606 to be dropped-out, and generates themask 620 (indicated as “mask generation 704” in FIG. 7A) based on theselection. For example, the mask generation logic 126 is aware of theselection of the feature elements F12, F21, F24, and FP2 of the tensor606 to be dropped-out (see FIGS. 6B and 6C). Accordingly, in thegenerated mask 620, each of the corresponding mask elements A12, A21,A24, and AP2 is generated with a value of 000 . . . 000. In thegenerated mask 620, each of the remaining mask elements (e.g.,corresponding to the feature elements that are not to be dropped out) isgenerated with a value of 000 . . . 001. Thus, the LSB of each maskelement is generated to be either 0 or 1, depending on whether thecorresponding feature element is to be dropped out or not. Bits of eachmask element, other than the LSBs, are zeros anyway.

In an embodiment and as previously discussed, the mask elements Aij ofthe mask 620 and the feature elements Fij of the tensor 606 are in thesame data format (e.g., have the same number of bits). Merely as anexample, the mask elements Aij of the mask 620 and the feature elementsFij of the tensor 606 are in the data format INT16. Thus, in such anexample, each of the mask elements Aij of the mask 620 and the featureelements Fij of the tensor 606 has 16 bits. The mask elements areoriginally generated to have a bit width matched to the bit width of thefeature elements, e.g., to enable multiplication of a mask element Aijwith a corresponding feature element Fij.

For example, both the mask element Aij and the corresponding featureelement Fij have the same number of bits. Also, the mask element Aij hasall zero bits, except for the LSB, which can be either a 0 or a 1.Accordingly, if the LSB of the mask element Aij is 1, then amultiplication of the Aij and Fij is simply the Fij, and the featureelement Fij will not be dropped in the tensor 607 (i.e., the featureelement Fij will retain its original value). On the other hand, if theLSB of the mask element Aij is 0, then a multiplication of the Aij andFij is zero, and the feature element Fij will be dropped-out in thetensor 607. In order to facilitate the multiplication between individualmask element Aij and individual feature element Fij, the mask elementsare originally generated to have the same number of bits as the featureelements. For example, both the mask elements Aij of the mask 620 andthe feature elements Fij of the tensor 606 are in the same data format(such as data format INT16).

In an example, for training a neural network with dropout enabled, thesame mask has to be applied on a tensor output by a layer in the forwardpath as on another corresponding tensor output by a corresponding layeron the backpropagation path. For example, assume that the mask 620 isapplied to the output of the layer 604 of the forward path of the neuralnetwork. In the backpropagation path of the neural network, there wouldbe another layer corresponding to the layer 604, and the same mask 620has to also be applied to an output tensor of that other layer of thebackpropagation path of the neural network. Thus, after applying themask 620 to the tensor 606 output by the layer 604, the mask 620 has tobe stored until the corresponding other backpropagation layer generatesa corresponding output. Furthermore, multiple masks (e.g., similar tothe mask 620) are to be generated and stored for multiple layers of theneural network. Storing the mask 620 consumes memory. Furthermore, notethat the mask elements Aij have meaningful or relevant information incorresponding LSBs only (e.g., a LSB of a mask element is either zero orone, depending on whether the corresponding feature element is to bedropped-out or retained), and the remaining bits are zero and do notcarry meaningful information. Accordingly, in an embodiment, the mask620 is compressed to generate a compressed mask 720, as illustrated inFIG. 7A. Subsequently, the compressed mask 720 is used for the dropoutof the tensor 606 output by the layer 604, and also used for the dropoutof another tensor output by a corresponding other layer in the backpropagation path.

As illustrated in FIG. 7A, the compression of the mask 620 (labeled as“mask compression 706” in FIG. 7A), to generate the compressed mask 720,is performed by the mask compression logic 127 (see FIG. 1 ). Duringcompression, the mask compression logic 127 preserves the LSBs of themask elements Aij in the compressed mask elements aij of the compressedmask 720, and discards the remaining bits of the mask elements Aij.

For example, mask element A11 of the mask 620 has a value of 000 . . .001. A compressed mask element a11 of the compressed mask 720 isgenerated from the mask element A11 of the mask 620, and the compressedmask element a11 has a value of 1, which is the LSB of the mask elementA11. Similarly, mask element A12 of the mask 620 has a value of 000 . .. 000. A compressed mask element a12 of the compressed mask 720 isgenerated from the mask element A12 of the mask 620, and the compressedmask element a12 has a value of 0, which is the LSB of the mask elementA12. Other compressed mask elements of the compressed mask 720 are alsogenerated in a similar manner.

In an example, individual mask elements Aij have an INT16 data format,whereas an individual compressed mask element aij comprises a singlebit. Thus, a compression ratio of 16 is achieved in this example. Thisreduces memory consumption by a factor of 16, as well as reduces maskloading and/or unloading time. As will be discussed in further detailherein, the compressed mask 720 is in an encoded format as illustrated,and the decompression happens on-the-fly during computation on a givenlayer, i.e., no extra memory is spent to implement any decode logic.

Note that in the example of FIG. 7A, mask elements are not reorderedduring compression, and the mask elements Aij and compressed maskelements aij appear in the same order in the mask 620 and the compressedmask 720, respectively. However, in some other examples discussed hereinlater in turn, the mask elements can be reordered during the compressionstage.

FIG. 7B illustrates generation and flow of the compressed mask 720 ofFIG. 7A. For example, as discussed with respect to FIG. 7A and as alsoillustrated in FIG. 7B, the mask generation logic 126 executing in thehost 120 generates the mask 620 in the uncompressed format, which can bestored in the host memory 128 or the off-chip memory 140. In an example,the mask generation logic 126 executing in the host 120 generates andstores the mask 620 in the host memory 128, from which the mask 620 istransferred to the off-chip memory 140. In another example, the maskgeneration logic 126 executing in the host 120 generates and stores themask 620 directedly in the off-chip memory 140. In yet another example,the mask generation logic 126 executing in the host 120 generates andstores the mask 620 in the host memory 128, from which the mask 620 isnot transferred to the off-chip memory 140. In another example, the maskmay be generated by the reconfigurable processor 110 and stored directlyin the off-chip memory 140. In yet another example, the mask may begenerated and compressed by the reconfigurable processor 110 and storedin the on-chip memory 530 in a PMU (341).

Subsequently, the mask compression logic 127 executing in the host 120compresses the mask 620 (e.g., as discussed with respect to FIG. 7A,labeled as “mask compression 706” in FIGS. 7A and 7B) to generate thecompressed mask 720, and the compressed mask 720 is stored in the hostmemory 128, the off-chip memory 140, and/or a reconfigurable memory unitsuch as a PMU 740 (see FIGS. 3 and 5 for PMUs). In an example, the maskcompression logic 127 stores the compressed mask 720 in the host memory128, from which the compressed mask 720 is transferred to the off-chipmemory 140, and then to the PMU 740. In another example, the maskcompression logic 127 stores the compressed mask 720 in the off-chipmemory 140, from which the compressed mask 720 is transferred to the PMU740. In yet another example, the mask compression logic 127 stores thecompressed mask 720 directly to the PMU 740.

Subsequently, the compressed mask 720 is loaded from the PMU 740 to areconfigurable compute unit such as a PCU 744 (see FIGS. 3 and 4 forPCUs). At operation 711 a, the PCU 744 applies the compressed mask 720to the tensor 606 output by the layer 604, to selectively dropoutfeature elements of the tensor 606 and thereby generate the tensor 607.At operation 711 b, the PCU 744 also applies the same compressed mask720 to another corresponding tensor output by another correspondinglayer of the backpropagation path, to selectively dropout featureelements of the other tensor.

Note that operations 711 a and 711 b do not occur simultaneously. Forexample, after the dropout operation 711 a of the tensor 607 of theforward path, the tensor 607 goes through various subsequent layers ofthe neural network, and is also propagated through various layers of theback propagation path. Accordingly, the dropout operation 711 b in thecorresponding layer of the backpropagation path is likely to occursometime after the operation 711 a. The time delay between the twooperations may be based on a topology of the neural network, relativeposition of the layer 604 within the topology, execution speed of theneural network, and/or the like.

In one example, after the execution of operation 711 a, the compressedmask 720 is deleted or overwritten from the PCU 744 and the PMU 740, butremains stored in the host memory 128 and/or the off-chip memory 140.During the later execution of operation 711 b, the PMU 740 retrieves thecompressed mask 720 from the host memory 128 and/or the off-chip memory140, and then the PCU 744 retrieves the compressed mask 720 from the PMU740.

In another example, after the execution of operation 711 a, thecompressed mask 720 remains stored in the PCU 744, for the laterexecution of operation 711 b. In another example, after the execution ofoperation 711 a, the compressed mask 720 is deleted or overwritten fromthe PCU 744 but remains stored in the PMU 740, and during the laterexecution of operation 711 b the PCU 744 retrieves the compressed mask720 from the PMU 740.

Because of the compression, the compressed mask 720 is relatively smallin size (e.g., compared to the uncompressed mask 620) and consumes lessmemory space. Thus, in an example, the compressed mask 720 can remainloaded in the PMU 740 between operations 711 a and 711 b, therebyreducing the compressed mask loading/unloading time required duringdropout in the backpropagation layer.

FIG. 7C illustrates application of the compressed mask 720 to thefeature elements of the tensor 606, to generate the tensor 607 havingone or more dropped-out feature elements. The compressed mask 720 ofFIG. 7C is also illustrated in FIG. 7A, and as discussed, the compressedmask 720 has a single-bit “0” value for some of the compressed maskelements, such as compressed mask elements a12, a21, a24, and aP2. Thecompressed mask 720 has a single-bit “1” value for the remainingcompressed masked elements, such as compressed masked elements a11, a13,a22, and aPQ. When the compressed mask 720 is applied to the tensor 606,the PCU 744 drops a feature element if the corresponding compressed maskelement is 0. For example, feature elements F12, F21, F24, and FP2 inthe tensor 607 have all zeros, e.g., as these features were dropped out.On the other hand, the PCU 744 does not drop a feature element (e.g.,retains the feature element without any change) if the correspondingcompressed mask element is 1. For example, each of the feature elementsF11, F13, F22, and FPQ has the same values in both tensors 606 and 608(i.e., these features retain their original values in the tensor 607,and are not dropped out).

FIG. 8A illustrates an example tensor 810 output by a layer 804 of aneural network, where one or more feature elements of the tensor 810 areto be selectively dropped out; and FIG. 8B illustrates a mask 820 and acorresponding compressed mask 840 for implementing the dropout offeature elements of the tensor 810 of FIG. 8A. Referring to FIG. 8A, thelayer 804 outputs the tensor 810 having feature elements arranged in a4×32 array. Thus, there are four rows of feature elements. Each row offeature elements forms a corresponding vector, and accordingly, fourvectors 822 a, 822 b, 822 c, and 822 d are formed corresponding to thefour rows of feature elements.

In FIG. 8A, feature elements of only the first row (i.e., the featureelements of the vector 822 a) are labeled in FIG. 8A, which includesfeature elements F0, F1, . . . , F31, generally referred to as Fi, wherei varies from 0 to 31. In an embodiment, each feature element Fi is amultibit element, e.g., comprises 16 corresponding bits. Merely as anexample, each feature element Fi is in INT16 data format, i.e., has 16corresponding bits. In another example, each feature element Fi is inanother appropriate 16-bit data format (e.g., which is supported by aPCU 835 discussed herein later with respect to FIG. 8E), such as BF-16data format. Example values of some of the feature elements (such asfeature elements F0, F1, F13, F23, and F27) are illustrated in FIG. 8A.

Referring now to FIG. 8B, illustrated is a mask 820 comprising aplurality of mask elements, for implementing selective dropout offeature elements of the tensor 810 of FIG. 8A. The mask elements of themask 820 are also arranged in a 4×32 array (e.g., similar to the featureelements of the tensor 810 of FIG. 8A). Thus, there are four rows 811 a,811 b, 811 c, 811 d of mask elements.

In FIG. 8B, mask elements of only the first row 811 a are illustrated,which includes mask elements C0, C1, . . . , C31, generally referred toas Ci, where i varies from 0 to 31. Note that the labels using thecapital letter “C” refer to the mask elements in the uncompressed formof the mask 820, whereas labels using the small letter “c” refer tocompressed mask elements of a compressed mask 840.

In an example, each mask element of the mask 820 corresponds to arespective feature element of the tensor 810. For example, mask elementC0 dictates whether the corresponding feature element F0 is to bedropped-out or retained, mask element C1 dictates whether thecorresponding feature element F1 is to be dropped-out or retained, maskelement C3 dictates whether the corresponding feature element F3 is tobe dropped-out or retained, and so on, e.g., as discussed herein earlierwith respect to FIGS. 6B-7C.

In an embodiment, each mask element Ci is a multibit element, e.g.,comprises 16 corresponding bits. Merely as an example, each mask elementCi has a bit width that matches the bit width of the feature elements Fiof the tensor 810 (e.g., to maintain consistency of data, as discussedherein earlier with respect to FIGS. 6B-7C). Thus, in an example, eachof the mask elements C0, . . . , C31 comprises 16 bits (i.e., has thesame number of bits as the feature elements). In an example and asdiscussed herein, each of the mask elements C0, . . . , C31 can berepresented in INT16 data format (although another 16-bit data formatcan also be used for the mask elements). In an example, irrespective ofthe 16-bit data format used for the feature elements (e.g., INT16,BF-16, or another appropriate 16 bit data format supported by the PCU835), the mask elements C0, . . . , C31 are in INT16 data format.Example values of some of the mask elements are illustrated in FIG. 8B.Mask elements of the mask 820, which are encircled with a correspondingcircle, include 16 bits of zero, indicating that corresponding featureelements are to be dropped. In the example of FIG. 8B, mask elements C0,C3, C8, C13, C17, C20, C25, and C29 have all zero bits, indicating thatcorresponding feature elements F0, F3, F8, F13, F17, F20, F25, and F29are to be dropped. Each of the remaining mask elements of the mask 820has 16 bits, with a LSB of 1 and zeros as the remaining bits, indicatingthat the corresponding feature elements are not to be dropped (i.e.,corresponding feature elements are to be retained during the dropout).In other embodiments, other representations may be used to indicatewhich elements to drop out. Merely as an example, in the INT16 format,16 consecutive ‘1’ bits may be used for a mask element to indicate thata corresponding feature element is to be dropped out; and 16 consecutive‘0’ bits may be used for a mask element to indicate that a correspondingfeature element is to be retained (i.e., not dropped out). Generally,any two distinct values may be used to distinguish between mask elementsthat indicates corresponding feature elements should be dropped out andcorresponding feature elements should be retained. These mask values maybe compared against their respective constants, and the results of thecomparison used to convert a mask element into the compressible format,or the mask element may be directly compressed by generating a single‘1’ or ‘0’ bit as appropriate.

For ease of identification, in the mask 820, the mask elements C0, C2,C4, . . . , C30 are termed as “even” numbered mask elements, and themask elements C1, C3, C5, . . . , C31 are termed as “odd” numbered maskelements. Thus, odd and even numbered mask elements are interleaved inthe mask 820.

As discussed with respect to FIGS. 7A and 7B, the mask 820 of FIG. 8B iscompressed, to generate a corresponding compressed mask 840, e.g., bycompressing individual mask elements Ci to generate correspondingcompressed mask elements ci. For example, mask element C0 is compressedto generate corresponding compressed mask element c0, mask element C1 iscompressed to generate corresponding compressed mask element c1, maskelement C31 is compressed to generate corresponding compressed maskelement c31, and so on. Thus, compressed mask elements c0, c1, . . . ,c31 are generated from mask elements C0, C1, . . . , C31, respectively.During the compression, the LSB of each mask element (which can beeither 1 or 0) is retained, and remaining bits (which are anyway zeros)are discarded. Thus, for example, mask element C0 having a value of 000. . . 000 is compressed to generate compressed mask element c0 having avalue of 0; mask element C1 having a value of 000 . . . 001 iscompressed to generate compressed mask element c1 having a value of 1;mask element C29 having a value of 000 . . . 000 is compressed togenerate compressed mask element c29 having a value of 0; mask elementC31 having a value of 000 . . . 001 is compressed to generate compressedmask element c31 having a value of 1; and so on, as illustrated in FIG.8B.

The compressed mask 840 has four rows 815 a, 815 b, 815 c, 815 d, witheach row having 32 compressed mask elements. For example, mask elementsof the row 811 a of the mask 820 are compressed to generate thecompressed mask elements of the row 815 a of the compressed mask 840;mask elements of the row 811 b of the mask 820 are compressed togenerate the compressed mask elements of the row 815 b of the compressedmask 840, and so on.

Each of the compressed mask elements c0, . . . , c31 of the row 815 aare also termed as either odd or even. Note that whether a compressedmask element of the compressed mask 840 is termed as an “even”compressed mask element or an “odd” compressed mask element is not basedon a relative position of the compressed mask element in the compressedmask 840. Rather, whether a compressed mask element of the compressedmask 840 is even or odd is based on whether the corresponding maskelement in the mask 820 is termed as even or odd. For example, asdiscussed herein previously, in the mask 820, the mask elements C0, C2,C4, . . . , C30 are termed as “even” mask elements, and the maskelements C1, C3, C5, . . . , C31 are termed as “odd” mask elements.Thus, odd and even numbered mask elements are interleaved in the mask820. Accordingly, as the compressed mask element c0 of the compressedmask 840 is generated from the even numbered mask element C0 of the mask820, the compressed mask element c0 is termed as being even. Similarly,as the compressed mask element c1 of the compressed mask 840 isgenerated from the odd numbered mask element C1 of the mask 820, thecompressed mask element c1 is termed as being odd. Thus, in thecompressed mask 840, compressed mask elements c0, c2, c4, . . . , c30are termed as “even” numbered compressed mask elements, and compressedmask elements c1, c3, c5, . . . , c31 are termed as “odd” numberedcompressed mask elements. Such labeling of the compressed mask elementsas being odd or even is irrespective or independent of the relativepositions of the compressed mask elements in the compressed mask 840, asillustrated (e.g., as the compressed mask elements are rearranged,discussed below).

In FIG. 8B, when compressing the mask 820 to generate the compressedmask 840, in addition to the above discussed compression operation, areordering (or rearranging) operation is also performed within each row,to reorder or rearrange the compressed mask elements in the compressedmask 840 (e.g., relative to an order of the mask elements in the mask820).

For example, in the mask 820, the mask elements of the first row 811 aare arranged in the following order: C31, C30, C29, . . . , C0. However,in the compressed mask 840, the compressed mask elements of the firstrow 815 a are arranged (starting from the right) in the order c31, c29,. . . , c3, c1, c30, c28, . . . , c2, c0. Thus, the “non-consecutive”even-positioned mask elements C30, C28, C26, . . . , C0 of the mask 820are compressed and “consecutively” arranged as even-numbered compressedmask elements c30, c28, c26, . . . , c0, respectively, in the compressedmask 840. Similarly, the “non-consecutive” odd-positioned mask elementsC31, C29, C27, . . . , C1 of the mask 820 are compressed and“consecutively” arranged as odd-numbered compressed mask elements c31,c29, c27, . . . , c1 in the compressed mask 840.

Thus, in the mask 820, the even and odd mask elements are interleaved;whereas in the compressed mask 840, the even compressed mask elementsare consecutively arranged, and the odd compressed mask elements areconsecutively arranged.

The right-bottom corner of FIG. 8B illustrates the compressed mask row840 a, which includes example values of individual compressed maskelements c31, c29, . . . , c3, c1, c30, c28, . . . , c2, c0 of the firstrow 815 a of the compressed mask 840. Merely as an example, thecompressed mask row 840 a is 10101110101111011111011111101110. Here, theLSB or bit 0 of the compressed mask row 840 a is “0” corresponding tothe compressed mask element c0; the bit 1 of the compressed mask row 840a is “1” corresponding to the compressed mask element c2; the bit 2 ofthe compressed mask row 840 a is “1” corresponding to the compressedmask element c4; the bit 30 of the compressed mask row 840 a is “0”corresponding to the compressed mask element c29; the bit 31 of thecompressed mask row 840 a is “1” corresponding to the compressed maskelement c31; and so on. Thus, as illustrated, each row 815 of thecompressed mask 840 has 32 bits, corresponding to the 32 mask elementsof a row of the mask 820. In an example, each row 815 of the compressedmask 840 is in the INT32 data format. Thus, for example, the compressedmask row 840 a having the 32 bits is in the INT32 data format (althoughanother appropriate 32-bit data format can also be used). In an example,irrespective of the 16-bit data format used for the feature elements(e.g., INT16, BF-16, or another appropriate 16-bit data format), each ofrows 815 a, . . . , 815 d of the compressed mask 840 is in INT32 dataformat.

Dropout of the feature elements of the vector 822 a of the first row ofthe tensor 810 of FIG. 8A, using the compressed mask elements of the row815 a of the compressed mask 840, will be discussed herein in furtherdetail below. Similar operations can be employed to implement dropout ofthe other vectors 822 b, 822 c, 822 d of the tensor 810, as would beappreciated by those skilled in the art.

FIG. 8C illustrates sectioning a row 815 a of compressed mask elementsin an upper array 830 a of compressed mask elements and a lower array830 b of compressed mask elements. Thus, the 16 MSBs of the compressedmask elements in the row 815 a are included in the upper array 830 a,and the 16 LSBs of the compressed mask elements in the row 815 a areincluded in the lower array 830 b. Note that as discussed with respectto FIG. 8B, the row 815 a of compressed mask elements had compressedmask elements reordered, such that odd numbered compressed mask elementswere consecutively ordered, and even numbered compressed mask elementswere consecutively ordered. Due to such reordering and interleaving ofthe compressed mask elements in the compressed mask 840, the upper array830 a of compressed mask elements includes odd numbered compressed maskelements c1, c3, . . . , c31, and the lower array 830 b of compressedmask elements includes even numbered compressed mask elements c0, c2, .. . , c30. Accordingly, the upper array 830 a of compressed maskelements and the lower array 830 b of compressed mask elements are alsoreferred to herein as an odd array of compressed mask elements and aneven array of compressed mask elements, respectively. Note that theterms “upper” and “lower” merely imply that the upper array has MSBs andthe lower array has LSBs of the compressed mask elements of the row 815a, and these arrays can also be referred to simply as first and secondarrays, respectively.

FIG. 8D illustrates selective logical right shifting of compressed maskelements in each of the upper array 830 a and the lower array 830 b ofcompressed mask elements. For example, FIG. 8D illustrates multiple bitshifting examples 832, where in each example, the compressed maskelements are shifted by corresponding bit(s) towards the right. Reasonsfor bit shifting will be discussed herein later in turn.

Referring to example 832_0, the compressed mask elements are shifted by0 bits towards the right, resulting in the modified upper array 830 a_0and the modified lower array 830 b_0 of compressed mask elements. As thecompressed mask elements are shifted by 0 bits (i.e., not shifted atall), the modified upper array 830 a_0 and the lower array 830 b_0 ofcompressed mask elements are same as the upper array 830 a and the lowerarray 830 b of compressed mask elements, respectively. Note thatcompressed mask elements c0 and c1 are the LSBs of the modified lowerarray 830 b_0 and the modified upper array 830 a_0, respectively.

Referring to example 832_1, the compressed mask elements are shifted by1 bit towards the right, resulting in the modified upper array 830 a_1and the modified lower array 830 b_1 of compressed mask elements. As thecompressed mask elements are shifted by 1 bit, the modified upper array830 a_0 and the lower array 830 b_0 of compressed mask elements aredifferent from the upper array 830 a and the lower array 830 b ofcompressed mask elements, respectively. Note that compressed maskelements c2 and c3 are the LSBs of the modified lower array 830 b_1 andthe modified upper array 830 a_1, respectively.

Referring to example 832_2, the compressed mask elements are shifted by2 bits towards the right, resulting in the modified upper array 830 a_2and the modified lower array 830 b_2 of compressed mask elements. As thecompressed mask elements are shifted by 2 bits, compressed mask elementsc4 and c5 are the LSBs of the modified lower array 830 b_2 and themodified upper array 830 a_2, respectively.

Referring to example 832_3, the compressed mask elements are shifted by3 bits towards the right, resulting in the modified upper array 830 a_3and the modified lower array 830 b_3 of compressed mask elements. As thecompressed mask elements are shifted by 3 bits, compressed mask elementsc6 and c7 are the LSBs of the modified lower array 830 b_3 and themodified upper array 830 a_3, respectively.

This process continues, and referring to example 832_14, the compressedmask elements are shifted by 14 bits towards the right, resulting in themodified upper array 830 a_14 and the modified lower array 830 b_14 ofcompressed mask elements. As the compressed mask elements are shifted by14 bits, compressed mask elements c28 and c29 are the LSBs of themodified lower array 830 b_14 and the modified upper array 830 a_14,respectively.

Finally, referring to example 832_15, the compressed mask elements areshifted by 15 bits towards the right, resulting in the modified upperarray 830 a_15 and the modified lower array 830 b_15 of compressed maskelements. As the compressed mask elements are shifted by 15 bits,compressed mask elements c30 and c31 are the LSBs of the modified lowerarray 830 b_15 and the modified upper array 830 a_15, respectively.

Generally speaking, in example 832_i (where i varies from 0, . . . ,15), the compressed mask elements are shifted by i bits towards theright, resulting in the modified upper array 830 a_i and the modifiedlower array 830 b_i of compressed mask elements. As the compressed maskelements are shifted by i bits, compressed mask elements c2 i and c(2i+1) are the LSBs of the modified lower array 830 b_i and the modifiedupper array 830 a_i, respectively.

FIG. 8E illustrates a computing unit 835 configured to implement dropouton the tensor 810 output by the layer 804 of FIG. 8A. In an example, thecomputing unit 835 is a reconfigurable computing unit, such as a PCUdiscussed with respect to FIGS. 3, 4, and 7B, and hence, also referredto as PCU 835. In another example, a non-reconfigurable computing unitcan also be used to implement the dropout, instead of a reconfigurablecomputing unit or a PCU.

Referring to FIGS. 4 and 8E, only some components of the PCU from FIG. 4are illustrated in FIG. 8E. For example, the PCU 835 of FIG. 8E includesa scalar FIFO 450 to receive scalar inputs. In an example, the scalarFIFO 450 sequentially receives individual rows of the compressed mask840, each row of which is in scalar form. For example, initially, thescalar FIFO 450 receives the first row 815 a of the compressed mask 840(see FIG. 8B), and the PCU 835 applies the first row 815 a of thecompressed mask 840 on the first vector 822 a (see FIG. 8A) of featureelements of the tensor 810 to perform dropout operations on the featureelements of the first vector 822 a. Then the scalar FIFO 450 receivesthe second row 815 b of the compressed mask 840, and the PMU 835 appliesthe second row 815 b of the compressed mask 840 on the second vector 822b of feature elements of the tensor 810 to perform dropout operations onthe feature elements of the second vector 822 b. This sequential processcontinues until dropout operations on all the vectors 822 a, . . . , 822d of the tensor 810 have been performed. FIG. 8E and some of thesubsequent figures illustrate dropout operations specifically on thefeature elements of the vector 822 a using the first row 815 a of thecompressed mask 840, and similar operations can then be repeated onother vectors 822 b, 822 c, and 822 d of feature elements subsequentlyand sequentially.

As discussed, the scalar FIFO 450 receives the first row 815 a of thecompressed mask 840, such as the upper array 830 a and the lower array830 b of the compressed mask elements of row 815 a of the compressedmask 840 (also see FIG. 8C). The vector FIFO 460 receives the vector 822a comprising the feature elements F0, F1, . . . , F31.

In an embodiment and as discussed with respect to FIG. 4 , the PCU 835of FIG. 8E includes multiple reconfigurable datapaths in block 480. Theblock 480 comprises a plurality of lanes 850_0, 850_1, . . . , 850_15.Thus, each lane is associated with a corresponding lane number j, wherej varies from 0, . . . , 15. Thus, in this example, there are 16 lanes.Each lane 850 includes corresponding reconfigurable datapath comprisinga plurality of stages 1, . . . , N. Merely as an example, there may be 6stages in each lane. As will be discussed herein in turn, stage 1 ofeach lane is used for right shifting the upper and lower arrays 830 a,830 b, and stage 2 is used to implement the dropout. Remaining stages ofthe lanes can be used to implement one or more other appropriatefunctions. Examples of such function include, but are not limited to,non-linearities like ReLU and its variants (e.g., leaky ReLU),convolution, transpose convolution, hyperbolic tangent, sigmoid, andsoftmax, element-wise addition, matrix multiplication (e.g., GeMM),layer normalization (e.g., batch normalization), loss functions likecross-entropy, and tensor shape modifiers like transpose.

As illustrated in FIG. 8E, in an example, the upper array 830 a and thelower array 830 b of the compressed mask elements of row 815 a of thecompressed mask 840 are broadcast to each of the 16 lanes 850_0, . . . ,850_15.

Furthermore, each lane 850_j (where j=0, . . . , 15) receives twocorresponding feature elements of the vector 822 a of the tensor 810.For example, lane 0 receives feature elements F0 and F1 of the vector822 a of the tensor 810 (also see FIG. 8A); lane 1 receives featureelements F2 and F3 of the vector 822 a of the tensor 810; lane 2receives feature elements F4 and F5 of the vector 822 a of the tensor810; lane 3 receives feature elements F6 and F7 of the vector 822 a ofthe tensor 810; lane 14 receives feature elements F28 and F29 of thevector 822 a of the tensor 810; lane 15 receives feature elements F30and F31 of the vector 822 a of the tensor 810; and so on. In general,lane j receives feature elements F(2 j) and F(2 j+1) of the vector 822 aof the tensor 810, where j=0, . . . , 15.

FIG. 8F illustrates logical right shift operations of the upper array830 a and the lower array 830 b of the compressed mask 840 within thecomputing unit 835 of FIG. 8E. FIG. 8F merely illustrates the block 480of the computing unit 835, and other components of the computing unit835 are not illustrated in FIG. 8F for purposes of illustrative clarity.

In FIG. 8F, in stage 1 of each lane 850_j (where j is 0, . . . , 15),each of the upper array 830 a and the lower array 830 b of thecompressed mask 840 is right shifted by j bits. For example, in stage 1,the lane 850_0 logically right shifts each of the upper array 830 a andthe lower array 830 b of the compressed mask 840 by 0 bits; in stage 1,the lane 850_1 logically right shifts each of the upper array 830 a andthe lower array 830 b of the compressed mask 840 by 1 bit; in stage 1,the lane 850_2 logically right shifts each of the upper array 830 a andthe lower array 830 b of the compressed mask 840 by 2 bits; in stage 1,the lane 850_3 logically right shifts each of the upper array 830 a andthe lower array 830 b of the compressed mask 840 by 3 bits; in stage 1,the lane 850_14 logically right shifts each of the upper array 830 a andthe lower array 830 b of the compressed mask 840 by 14 bits; in stage 1,the lane 850_15 logically right shifts each of the upper array 830 a andthe lower array 830 b of the compressed mask 840 by 15 bits; and so on.

Logical right shifting of each of the upper array 830 a and the lowerarray 830 b of compressed mask elements by j bits (j varying between 0,. . . , 15) is discussed with respect to FIG. 8D. Thus, referring toFIGS. 8D and 8F, LSBs of the shifted lower array 830 b and shifted upperarray 830 a (which were shifted by 0 bits) in the lane 850_0 are c0 andc1, respectively. Similarly, LSBs of the shifted lower array 830 b andshifted upper 830 a (which were shifted by 1 bit) in the lane 850_1 arec2 and c3, respectively. Similarly, LSBs of the shifted lower array 830b and shifted upper array 830 a (which were shifted by 2 bits) in thelane 850_2 are c4 and c5, respectively. Similarly, LSBs of the shiftedlower array 830 b and shifted upper array 830 a (which were shifted by 3bits) in the lane 850_3 are c6 and c7 respectively. Similarly, LSBs ofthe shifted lower array 830 b and shifted upper array 830 a (which wereshifted by 14 bits) in the lane 850_14 are c28 and c29, respectively.Similarly, LSBs of the shifted lower array 830 b and shifted upper array830 a (which were shifted by 15 bits) in the lane 850_15 are c30 andc31, respectively. Generally, LSBs of the shifted lower array 830 b andshifted upper array 830 a (which were shifted by j bits) in the lane 850j are c(2 j) and c(2 j+1), respectively.

FIG. 8G illustrates dropout operations of the feature elements F0, . . ., F31 of the tensor 810 of FIG. 8A, using the shifted upper array 830 aand lower array 830 b of the compressed mask 840, within the computingunit 835 of FIGS. 8E and 8F.

For example, as discussed with respect to FIG. 8E, the lane 850_0receives feature elements F0 and F1. As discussed with respect to FIG.8F, LSBs of the shifted lower array 830 b and shifted upper array 830 ain the lane 850_0 are c0 and c1, respectively. The second stage of lane850_0 uses the LSB of the shifted lower array 830 b (i.e., compressedmask element c0) to determine whether to pass the original featureelement F0 to the next stage (i.e., not perform dropout of featureelement F0), or pass all zeros to the next stage (i.e., perform dropoutof feature element F0). Similarly, the second stage of lane 850_0 usesthe LSB of the shifted upper array 830 a (i.e., compressed mask elementc1) to determine whether to pass the original feature element F1 to thenext stage (i.e., not perform dropout of feature element F1), or passall zeros to the next stage (i.e., perform dropout of feature elementF1). In an example, the stage 2 of the lane 850_0 uses a conditionaloperator (e.g., a ternary operator) to determine whether to dropout afeature element, or pass the feature element without any change, basedon a LSB of a corresponding upper or lower array of the compressedmasked elements.

For example, referring to FIG. 8B, compressed mask elements c0 and c1have values 0 and 1, respectively. Accordingly, feature element F0 is tobe dropped out, while feature element F1 is to be retained and notdropped out. Accordingly, the second stage of lane 850_0 uses the “0”value of the LSB of the shifted lower array 830 b (i.e., compressed maskelement c0) to dropout feature element F0 and pass all zeros instead tothe next stage. Similarly, the second stage of lane 850_0 uses the “1”value of the LSB of the shifted upper array 830 b (i.e., compressed maskelement c1) to refrain from dropping out the feature element F1, andpass the feature element F1 without any change to the next stage.

Similarly, the lane 850_1 receives feature elements F2 and F3, and LSBsof the shifted lower array 830 b and shifted upper array 830 a in thelane 850_0 are c2 and c3, respectively. The second stage of lane 850_1uses the LSB of the shifted lower array 830 b (i.e., compressed maskelement c2) to determine whether to pass the original feature element F2to the next stage (i.e., not perform dropout of feature element F2), orpass all zeros to the next stage (i.e., perform dropout of featureelement F2). Similarly, the second stage of lane 850_2 uses the LSB ofthe shifted upper array 830 a (i.e., compressed mask element c3) todetermine whether to pass the original feature element F3 to the nextstage (i.e., not perform dropout of feature element F3), or pass allzeros to the next stage (i.e., perform dropout of feature element F3).For example, referring to FIG. 8B, compressed mask elements c2 and c3have values 1 and 0, respectively. Accordingly, feature element F2 isnot dropped out, while feature element F3 is dropped out.

Similarly, the lane 850_2 receives feature elements F4 and F5, and LSBsof the shifted lower array 830 b and shifted upper array 830 a in thelane 850_0 are c4 and c5, respectively. Referring to FIG. 8B, each ofthe compressed mask elements c4 and c5 have a value of 1. Accordingly,both feature elements F4 and F5 are not dropped out.

This process continues for all other lanes, and will be evident to thoseskilled in the art based on the earlier discussion with respect to lane850_0.

Thus, feature elements are selectively either retained (i.e., notdropped) or dropped out, based on the values of corresponding compressedmask elements. For example, referring to FIG. 8B, mask elements C0, C3,C8, C13, C17, C20, C25, and C29 are encircled, and hence, have zeros astheir LSBs. Accordingly, each of the corresponding compressed maskelements c0, c3, c8, c13, c17, c20, c25, and c29 is zero. Hence, thecorresponding feature elements F0, F3, F8, F13, F17, F20, F25, and F29of the tensor 810 are dropped out, and zero values are passed to thesubsequent stage instead of these feature elements, as discussed withrespect to FIG. 8G. Remaining feature elements of the tensor 810 are notdropped, and are passed without any change to the subsequent stage, asalso discussed with respect to FIG. 8G. Similar dropout operations arealso performed at tensors in the backpropagation stage, as discussedherein previously.

Thus, as discussed herein, the mask generation logic 126 generates amask comprising mask elements (such as the mask 820 of FIG. 8B), whereeach mask element includes a corresponding plurality of bits. Thus, themask consumes relatively large storage space, and has relatively longerloading/unloading time. The mask is to be applied to a tensor in theforward path, and also to be applied to a corresponding tensor in thebackpropagation path, e.g., as discussed with respect to FIG. 7B. Asthere is a time gap between applying the mask in the forward path andapplying the mask in the backpropagation path, the mask has to be storedfor this time gap, thereby consuming valuable on-chip memory resources.In an embodiment, the mask is compressed to generate a correspondingcompressed mask (e.g., compressed mask 840 of FIG. 8B), which consumesmuch less storage space than the original mask. Once the compressed mask840 is generated, the mask 820 can be discarded. In an embodiment, thecompressed mask elements in the compressed mask are rearranged orinterleaved, such that even numbered compressed mask elements arearranged consecutively and odd numbered compressed mask elements arearranged consecutively. Such rearrangement of the compressed maskelements results in efficient application of the compressed maskelements to corresponding feature elements during dropout operations invarious lanes of a computing unit, as discussed with respect to FIGS.8E, 8F, and 8G.

In the examples of FIGS. 8A-8G, each of the feature elements F0, F1, . .. , F31 comprises corresponding 16 bits, e.g., represented in anyappropriate 16-bit format supported by the PCU 835, such as BF-16,INT16, or the like. Each of the mask elements C0, . . . , C31 alsocomprises 16 bits (i.e., has the same number of bits as the featureelements), and can be represented in INT16 data format, for example. Inan example, each of rows 815 a, . . . , 815 d of the compressed mask 840is in INT32 data format. Note that each lane of the PCU 835 processescorresponding two feature elements, e.g., because (i) each lane of thePCU 835 can handle 32 bits of feature elements and (ii) each featureelement is 16 bits. As discussed, the compressed mask elements in thecompressed mask 840 are interleaved or reordered, e.g., to enable eachlane of the PCU 835 to handle corresponding 2 feature elements, asdiscussed with respect to FIGS. 8D-8G.

32-Bit Feature Elements and Compressed Mask Elements Without Re-Ordering

Contrary to the examples illustrated in FIGS. 8A-8G in which the featureelements are 16 bits, in some other examples, each of the featureelements includes 32 corresponding bits. FIGS. 9A-9G illustrate ascenario where compressed mask elements are generated and featureelements are selectively dropped out based on the compressed maskelements, where individual feature elements are 32 bits and thecompressed mask elements are not reordered during the compressionprocess.

FIG. 9A illustrates an example tensor 910 output by a layer 904 of aneural network, where one or more feature elements of the tensor 910 areto be selectively dropped out, and where individual feature elementscomprises 32 bits; and FIG. 9B illustrates a mask 920 and acorresponding compressed mask 940 for implementing the dropout offeature elements of the tensor 910 of FIG. 9A. Referring to FIG. 9A, thelayer 904 outputs the tensor 910 having feature elements arranged in a4×32 array. Thus, there are four rows of feature elements. Each row offeature elements forms a corresponding vector, and accordingly, fourvectors 922 a, 922 b, 922 c, and 922 d are formed corresponding to thefour rows of feature elements.

In FIG. 9A, feature elements of only the first row (i.e., the featureelements of the vector 922 a) are labeled, which includes featureelements F′0, F′1, . . . , F′31, generally referred to as F′i, where ivaries from 0 to 31. In an embodiment, each feature element Fi is amultibit element, e.g., comprises 32 corresponding bits. Merely as anexample, each feature element Fi is in INT32 data format, i.e., has 32corresponding bits. In another example, each feature element Fi is inanother appropriate 32-bit data format (e.g., which is supported by aPCU 935 discussed herein later), such as FP32 data format (e., which isan IEEE standard single-precision format). Example values of some of thefeature elements (such as feature elements F′0, F′1, F′13, F′23, andF′27) are illustrated in FIG. 9A.

Referring now to FIG. 9B, illustrated is a mask 920 comprising aplurality of mask elements, for implementing selective dropout offeature elements of the tensor 910 of FIG. 9A. The mask elements of themask 920 are also arranged in a 4×32 array (e.g., similar to thearrangement of feature elements of the tensor 910 of FIG. 9A). Thus,there are four rows 911 a, 911 b, 911 c, 911 d of mask elements.

In FIG. 9B, mask elements of only the first row 811 a are illustrated,which includes mask elements C′0, C′1, . . . , C′31, generally referredto as C′i, where i varies from 0 to 31. Note that the labels using thecapital letter—C′—refer to the mask elements in the uncompressed form ofthe mask 920, whereas labels using the small letter—c′—refer tocompressed mask elements of a compressed mask 940.

In an example, each mask element of the mask 920 corresponds to arespective feature element of the tensor 910. For example, mask elementC′0 dictates whether the corresponding feature element F′0 is to bedropped-out or retained, mask element C′1 dictates whether thecorresponding feature element F′1 is to be dropped-out or retained, andso on, e.g., as discussed herein earlier with respect to FIGS. 6B-7C.

In an embodiment, each mask element C′i is a multibit element, e.g.,comprises 32 corresponding bits. Merely as an example, each mask elementC′i has a bit width that matches the bit width of the feature elementsF′i of the tensor 910 (e.g., to maintain consistency of data, asdiscussed herein earlier with respect to FIGS. 6B-7C). Thus, in anexample, each of the mask elements C′0, . . . , C′31 comprisescorresponding 32 bits (i.e., has the same number of bits as the featureelements). In an example, each of the mask elements C′0, . . . , C′31can be represented in INT32 data format (although another 32-bit dataformat can also be used for the mask elements). In an example,irrespective of the 32-bit data format used for the feature elements(e.g., INT32, FP32, or another appropriate 32 bit data format supportedby the PCU 935), the mask elements C′0, . . . , C′31 are in INT32 dataformat. Example values of some of the mask elements are illustrated inFIG. 9B. Mask elements of the mask 920, which are circled, include 32bits of zero, indicating that corresponding feature elements are to bedropped. In the example of FIG. 9B, mask elements C′0, C′3, C′8, C′13,C′17, C′20, C′25, and C′29 have all zero bits, indicating thatcorresponding feature elements F′0, F′3, F′8, F′13, F′17, F′20, F′25,and F′29 are to be dropped. Each of the remaining mask elements of themask 920 has 32 bits, with a LSB of 1 and zeros as the remaining bits,indicating that the corresponding feature elements are not to be dropped(i.e., corresponding feature elements are to be retained during thedropout).

However, in other embodiments, other representations may be used for themask elements to indicate which feature elements are to drop out. Merelyas an example, in the INT32 format, 32 consecutive ‘1’ bits may be usedfor a mask element to indicate that a corresponding feature element isto be dropped out; and 32 consecutive ‘0’ bits may be used for a maskelement to indicate that a corresponding feature element is to beretained (i.e., not dropped out). Generally, any two distinct values maybe used to distinguish between mask elements that indicatescorresponding feature elements should be dropped out and correspondingfeature elements should be retained. These mask values may be comparedagainst their respective constants, and the results of the comparisonused to convert a mask element into the compressible format, or the maskelement may be directly compressed by generating a single ‘1’ or ‘0’ bitas appropriate.

For ease of identification, in the mask 920, the mask elements C′0, C′2,C′4, . . . , C′30 are termed as “even” numbered mask elements, and themask elements C′1, C′3, C′5, . . . , C′31 are termed as “odd” numberedmask elements. Thus, odd and even numbered mask elements are interleavedin the mask 920.

As discussed with respect to FIGS. 7A and 7B, the mask 920 of FIG. 9B iscompressed, to generate a corresponding compressed mask 940, e.g., bycompressing individual mask elements C′i to generate correspondingcompressed mask elements c′i. For example, mask element C′0 iscompressed to generate corresponding compressed mask element c′0, maskelement C′1 is compressed to generate corresponding compressed maskelement c′1, and so on. Thus, compressed mask elements c′0, c′1, . . . ,c′31 are generated from mask elements C′0, C′1, . . . , C′31,respectively. During the compression, the LSB of each mask element(which can be either 1 or 0) is retained, and remaining bits (which areanyway zeros) are discarded. Thus, for example, mask element C′0 havinga value of 000 . . . 000 is compressed to generate compressed maskelement c′0 having a value of 0; mask element C′1 having a value of 000. . . 001 is compressed to generate compressed mask element c′1 having avalue of 1; mask element C′31 having a value of 000 . . . 001 iscompressed to generate compressed mask element c′31 having a value of 1;and so on, as illustrated in FIG. 9B.

The compressed mask 940 has four rows 915 a, 915 b, 915 c, 915 d, witheach row having 32 compressed mask elements. For example, mask elementsof the row 911 a of the mask 920 are compressed to generate thecompressed mask elements of the row 915 a of the compressed mask 940;mask elements of the row 911 b of the mask 920 are compressed togenerate the compressed mask elements of the row 915 b of the compressedmask 940, and so on.

Each of the compressed mask elements c′0, . . . , c′31 of the row 915 aare also termed as either odd or even. For example, mask elements c′0,c′2, c′4, . . . , c′30 are even compressed mask element, and maskelements c′1, c′3, c′5, . . . , c′31 are odd compressed mask element.

Note that unlike FIG. 8B, in the example of FIG. 9B the compressed maskelements are not reordered or rearranged. Thus, the ordering of the maskelements C′31, C′30, C′29, . . . , C′1, C′0 of the mask 920 is preservedin the compressed mask elements of the compressed mask 940. For example,the compressed mask elements of the compressed mask 940 are arranged inthe order c′31, c′30, c′29, . . . , c′1, c′0, where c′31 is the MSB ofthe row 915 a. Thus, unlike FIG. 8B where the odd and even compressedmask elements were not interleaved in the compressed mask 840, the oddand even compressed mask elements are interleaved in the compressed mask940 of FIG. 9B, reasons for which will be discussed herein in turn.

Thus, in the mask 920, the even and odd mask elements are interleaved;and in the compressed mask 940, the even and odd compressed maskelements are also interleaved.

The right-bottom corner of FIG. 9B illustrates the compressed mask row940 a, which includes example values of individual compressed maskelements c′31, c′30, c′29, . . . , c′3, c′2, c′1, c′0 of the first row915 a of the compressed mask 940. Merely as an example, the compressedmask row 940 a is 11011101111011011101111011110110. Here, the LSB or bit0 of the compressed mask row 940 a is “0” corresponding to thecompressed mask element c′0; the bit 1 of the compressed mask row 940 ais “1” corresponding to the compressed mask element c′1; the bit 2 ofthe compressed mask row 940 a is “1” corresponding to the compressedmask element c′2; the bit 30 of the compressed mask row 940 a is “1”corresponding to the compressed mask element c′30; the bit 31 of thecompressed mask row 940 a is “1” corresponding to the compressed maskelement c′31; and so on.

Thus, as illustrated, each row 915 of the compressed mask 940 has 32bits, corresponding to the 32 mask elements of a row of the mask 920. Inan example, each row 915 of the compressed mask 940 is in the INT32 dataformat. Thus, for example, the compressed mask row 940 a having the 32bits is in the INT32 data format (although another appropriate 32-bitdata format can also be used). In an example, irrespective of the 32-bitdata format used for the feature elements (e.g., INT32, FP32, or anotherappropriate 32-bit data format), each of rows 915 a, . . . , 915 d ofthe compressed mask 940 is in INT32 data format.

The size of the mask 920 is 32 columns×4 rows×32 bits=4096 bits, whereasthe size of the compressed mask is 1 column×4 rows×32 bits=128 bits.Thus, a compression ratio of 32 is achieved.

Dropout of the feature elements of the vector 922 a of the first row ofthe tensor 910 of FIG. 9A, using the compressed mask elements of the row915 a of the compressed mask 940, will be discussed herein in furtherdetail below. Similar operations can be employed to implement dropout ofthe other vectors 922 b, 922 c, 922 d of the tensor 910, as would beappreciated by those skilled in the art.

FIG. 9C illustrates sectioning a row 915 a of compressed mask elementsin an upper array 930 a of compressed mask elements and a lower array930 b of compressed mask elements. Thus, the 16 MSBs of the compressedmask elements in the row 915 a are included in the upper array 930 a,and the 16 LSBs of the compressed mask elements in the row 915 a areincluded in the lower array 930 b.

Note that in FIG. 8C, the upper array 830 a only had odd compressed maskelements and the lower array 830 b only had even compressed maskelements. In contrast, in FIG. 9C, the upper array 930 a has odd andeven interleaved compressed mask elements, and similarly, the lowerarray 930 b has odd and even interleaved compressed mask elements.

FIG. 9D illustrates selective logical right shifting of compressed maskelements in each of the upper array 930 a and the lower array 930 b ofcompressed mask elements of FIG. 9C. For example, FIG. 9D illustratesmultiple bit shifting examples 932, where in each example, thecompressed mask elements are shifted by corresponding bit(s) towards theright.

Referring to example 932_0, the compressed mask elements are shifted by0 bits towards the right, resulting in the modified upper array 930 a_0and the modified lower array 930 b_0 of compressed mask elements. As thecompressed mask elements are shifted by 0 bits (i.e., not shifted atall), the modified upper array 930 a_0 and the lower array 930 b_0 ofcompressed mask elements are same as the upper array 930 a and the lowerarray 930 b of compressed mask elements, respectively. Note thatcompressed mask elements c′0 and c′16 are the LSBs of the modified lowerarray 930 b_0 and the modified upper array 930 a_0, respectively.

Referring to example 932_1, the compressed mask elements are shifted by1 bit towards the right, resulting in the modified upper array 930 a_1and the modified lower array 930 b_1 of compressed mask elements. As thecompressed mask elements are shifted by 1 bit, the modified upper array930 a_0 and the lower array 930 b_0 of compressed mask elements aredifferent from the upper array 930 a and the lower array 930 b ofcompressed mask elements, respectively. Note that compressed maskelements c′17 and c′1 are the LSBs of the modified lower array 930 b_1and the modified upper array 930 a_1, respectively.

Various other example modified upper and lower arrays will be evident tothose skilled in the art, based on the discussion above as well as theprevious discussion with respect to FIG. 8D.

Generally speaking, in an example 832_i (where i varies from 0, . . . ,15), the compressed mask elements are shifted by i bits towards theright, resulting in the modified upper array 930 a_i and the modifiedlower array 930 b_i of compressed mask elements. As the compressed maskelements are shifted by i bits, compressed mask elements ci and c(i+16)are the LSBs of the modified lower array 930 b_i and the modified upperarray 930 a_i, respectively, as illustrated in FIG. 9D.

FIG. 9D1 illustrates a computing unit 935 configured to implement afirst dropout cycle and a second dropout cycle on the tensor 910 outputby the layer 904 of FIG. 9A. In an example, the computing unit 935 is areconfigurable computing unit, such as a PCU discussed with respect toFIGS. 3, 4, and 7B, and hence, also referred to as PCU 935. In anotherexample, a non-reconfigurable computing unit can also be used toimplement the dropout, instead of a reconfigurable computing unit or aPCU. In an example, the PCU 935 of FIG. 9E can have similarconfiguration as the PCU 835 of FIG. 8E.

In an example, the PCU 935 comprises 16 lanes, 950_0, 950_1, . . . ,950_15 (also see FIG. 9E herein later). Each lane can simultaneouslyprocess 32 bits. Also, note that each of the feature elements F′0, . . ., F′31 of FIG. 9A comprises 32 bits. So, at a given dropout cycle, alane 950_i (where i=0, . . . , 15) can handle at most one featureelement. Note that in contrast, in FIGS. 8A-8G, each of the featureelements F0, . . . , F31 was 16 bits, and hence, each lane 850_iprocessed corresponding two feature elements during a given dropoutcycle, as discussed with respect to FIGS. 8F-8G.

Thus, in FIG. 9D1, there are 16 lanes 950_0, 950_1, . . . , 950_15, witheach lane being able to process a single 32 bit feature element at agiven dropout cycle. Also, a vector 922 of feature element (see FIG. 9A)includes 32 number of feature elements F′0, . . . , F′31. Accordingly,as illustrated in FIG. 9D1, two dropout cycles are implemented toselectively dropout the 32 features elements.

For example, a first dropout cycle is implemented by the PCU 935, toselective dropout of one or more of the feature elements F′0, F′1, F′2,. . . , F′14, F′15, while retaining remaining of these feature elements,based respectively on the compressed mask elements c′0, c′1, c′2, . . ., c′14, c′15 included in the lower array 930 b of compressed maskelements. During the first dropout cycle, the PCU 935 receives the lowerarray 930 b of compressed mask elements c′15, c′14, . . . , c′1, c′0,and also receives the first 16 feature elements F′0, F′1, F′2, . . . ,F′14, F′15, and performs dropout operations on these feature elements.The first dropout operation will be discussed herein in further detailin turn with respect to FIGS. 9E-9G.

Subsequent to the first dropout cycle, a second dropout cycle isimplemented by the PCU 935, to selective dropout of one or more of thefeature elements F′16, F′17, F′18, . . . , F′30, F′31, while retainingremaining of these feature elements, based respectively on thecompressed mask elements c′16, c′17, c′18, . . . , c′30, c′31 includedin the upper array 930 a of compressed mask elements. During the seconddropout cycle, the PCU 935 receives the upper array 930 a of compressedmask elements c′31, c′30, . . . , c′17, c′16, and also receives the last16 feature elements F′16, F′17, F′18, . . . , F′30, F′31, and performsdropout operations on these feature elements.

Various subsequent figures herein discuss the first dropout cycle infurther detail. The second dropout cycle would be evident to thoseskilled in the art, based on the discussion of the first dropout cycle.

FIG. 9E illustrates a computing unit 935 (such as the PCU 935)configured to implement a first dropout cycle on feature elements F′0,F′1, F′2, . . . , F′14, F′15 of the tensor 910 output by the layer 904of FIG. 9A.

In an example, the tensor 910 of FIG. 9A has multiple rows of featureelements. The PCU 935 processes individual rows at a time, to implementthe dropout of individual rows. For example, for each row, the PCU 935employs (i) a corresponding first dropout cycle to perform selectivedropout of a first subset of feature elements of the row, and (i) acorresponding second dropout cycle to perform selective dropout of asecond subset of feature elements of the row. FIGS. 9E, 9F, and 9G arespecifically directed to the first dropout cycle for the first subset offeature elements of the first row comprising the vector 922 a of thetensor 910 of FIG. 9A. The second dropout cycle for the second subset offeature elements of the first row comprising the vector 922 a of thetensor 910 of FIG. 9A will be evident to those skilled in the art, basedon the discussion with respect to the first dropout cycle.

Referring now to the first dropout cycle for the first subset of featureelements of the first row of feature elements illustrated in FIG. 9E,the scalar FIFO 450 sequentially receives the lower array 930 b of thecompressed mask elements c′15, c′14, . . . , c′1, c′0 (note that thescalar FIFO 450 will receive, during the second dropout cycle, the upperarray 930 b of the compressed mask elements c′31, c′30, . . . , c′17,c′16, although the second dropout cycle is not illustrated in anysubsequent figures).

The vector FIFO 460 receives, during the first dropout cycle illustratedin FIG. 9E, a first subset of the vector 922 a comprising the featureelements F′0, F′1, F′2, . . . , F′14, F′15 (note that the vector FIFO460 will receive, during the second dropout cycle, a second subset ofthe vector 922 a comprising the feature elements F′16, F′17, F′18, . . ., F′30, F′31, although the second dropout cycle occurring subsequent tothe first dropout cycle is not illustrated in any subsequent figures).

In an embodiment and as discussed with respect to FIG. 8E, the PCU 935of FIG. 9E includes multiple reconfigurable datapaths in block 480. Theblock 480 comprises a plurality of lanes 950_0, 950_1, . . . , 950_15.Thus, each lane is associated with a corresponding lane number i, wherei varies from 0, . . . , 15. As discussed, each lane 950 includescorresponding reconfigurable datapath comprising a plurality of stages1, . . . , N. Merely as an example, there may be 6 stages in each lane.As will be discussed herein in turn, stage 1 of each lane is used forright shifting the corresponding array 930 of the compressed maskelements (e.g., during the first dropout cycle, lower array 930 b of thecompressed mask elements are shifted, as illustrated in FIG. 9F; andduring the subsequent second dropout cycle, upper array 930 a of thecompressed mask elements are shifted). Stage 2 of each lane is used toimplement the selective dropout. Remaining stages of the lanes can beused to implement one or more other appropriate functions. Examples ofsuch function include, but are not limited to, non-linearities like ReLUand its variants (e.g., leaky ReLU), convolution, transpose convolution,hyperbolic tangent, sigmoid, and softmax, element-wise addition, matrixmultiplication (e.g., GeMM), layer normalization (e.g., batchnormalization), loss functions like cross-entropy, and tensor shapemodifiers like transpose.

As illustrated in FIG. 9E, in an example, during the first dropoutcycle, the lower array 930 b of the compressed mask elements of row 915a of the compressed mask 940 are broadcast to each of the 16 lanes950_0, . . . , 950_15.

As discussed herein earlier, each lane 950 can process, at a givendropout cycle, 32 bits of feature elements. Also, each feature elementF′i (i=1, . . . , 32) is 32 bits. Accordingly, each lane 950 can processone corresponding feature element during a dropout cycle. Thus, eachlane 850_i (where i=0, . . . , 15) receives a corresponding featureelement of subset of the vector 822 a of the tensor 810 received by thevector FIFO 460. For example, lane 950_0 receives feature element F′0;lane 950_1 receives feature element F′1; lane 950_2 receives featureelement F′2; lane 950_14 receives feature element F′14; lane 950_15receives feature element F′15; and so on.

Note that although not illustrated, in the second dropout cycle thatwill be performed after the first dropout cycle, lane 950_0 will receivefeature element F′16; lane 950_1 will receive feature element F′17; lane950_15 will receive feature element F′31; and so on.

FIG. 9F illustrates logical right shift operations of the lower array930 b of the compressed mask 940 within the computing unit 835 of FIG.9E during the first dropout cycle. The logical right shift operationsoccur in the first stage of each lane. FIG. 9F merely illustrates theblock 480 of the computing unit 935, and other components of thecomputing unit 935 are not illustrated in FIG. 9F for purposes ofillustrative clarity.

In FIG. 9F, in stage 1 of each lane 950_i (where i is 0, . . . , 15),the lower array 930 b of the compressed mask 940 is right shifted by ibits. For example, in stage 1, the lane 950_0 logically right shifts thelower array 930 b of the compressed mask 940 by 0 bits; in stage 1, thelane 950_1 logically right shifts the lower array 930 b of thecompressed mask 940 by 1 bit; in stage 1, the lane 950_2 logically rightshifts the lower array 930 b of the compressed mask 940 by 2 bits; instage 1, the lane 950_15 logically right shifts the lower array 930 b ofthe compressed mask 940 by 15 bits; and so on.

Logical right shifting the lower array 930 b of compressed mask elementsby i bits (i varying between 0, . . . , 15) is discussed with respect toFIG. 9D. Thus, referring to FIGS. 9D and 9F, LSB of the shifted lowerarray 930 b (which is shifted by 0 bits) in the lane 950_0 is c′0.Similarly, LSB of the shifted lower array 930 b (which is shifted by 1bit) in the lane 950_1 is c′1. Similarly, LSB of the shifted lower array930 b (which is shifted by 15 bits) in the lane 950_15 is c′15.Generally, during the first dropout cycle, LSB of the shifted lowerarray 930 b (which is shifted by i bits) in the lane 950_i is c′i.

FIG. 9G illustrates dropout operations of the feature elements F′0, F′1,. . . , F15 of the tensor 910 of FIG. 9A, using the shifted lower array930 b of the compressed mask 940 during the first dropout cycle, withinthe computing unit 935 of FIGS. 9E and 9F.

For example, as discussed with respect to FIG. 9E, the lane 950_0receives feature element F′0. As discussed with respect to FIG. 9F, LSBof the shifted lower array 930 b is c′0. The second stage of lane 950_0uses the LSB of the shifted lower array 930 b (i.e., compressed maskelement c′0) to determine whether to pass the original feature elementF′0 to the next stage (i.e., not perform dropout of feature elementF′0), or pass all zeros to the next stage (i.e., perform dropout offeature element F′0). Similarly, the second stage of lane 950_1 uses theLSB of the shifted lower array 930 b (i.e., compressed mask element c′1)to determine whether to pass the original feature element F′1 to thenext stage (i.e., not perform dropout of feature element F′1), or passall zeros to the next stage (i.e., perform dropout of feature elementF′1). This process continues for all other lanes, and selective dropoutis performed on the feature elements F′1, F′1, . . . , F′15 during thefirst dropout cycle.

Although not illustrated, subsequent to the first dropout cycle, thesecond dropout cycle is implemented by the PCU 935, to selective dropoutof one or more of the feature elements F′16, F′17, F′18, . . . , F′30,F′31, while retaining remaining of these feature elements, basedrespectively on the compressed mask elements c′16, c′17, c′18, . . . ,c′30, c′31 included in the upper array 930 a of compressed maskelements. During the second dropout cycle, the PCU 935 receives theupper array 930 a of compressed mask elements c′31, c′30, . . . , c′17,c′16, and also receives the last 16 feature elements F′16, F′17, F′18, .. . , F′30, F′31, and performs dropout operations on these featureelements, e.g., similar to the first dropout cycle discussed withrespect to FIGS. 9E-9G.

We disclose the following clauses:

Clause Set 1

-   1. A method for selectively dropping out feature elements from a    tensor, the method comprising:

generating a mask comprising a plurality of mask elements, wherein eachmask element of the plurality of mask elements includes a correspondingplurality of bits representing either a first value or a second value,wherein the first value of a first mask element indicates that acorresponding first feature element of the tensor output by a neuralnetwork layer is to be dropped out, and wherein the second value of asecond mask element indicates that a corresponding second featureelement of the tensor is not to be dropped out;

compressing each mask element of the plurality of mask elements of themask to generate a corresponding compressed mask element of a pluralityof compressed mask elements of a compressed mask, thereby generating thecompressed mask from the mask, wherein each compressed mask element ofthe plurality of compressed mask elements includes a correspondingsingle bit;

storing the compressed mask in a memory; and

selectively dropping out feature elements from the tensor, based on thecompressed mask.

-   2. The method of claim 1, wherein:

the first value represents one of logical zero or logical one, and thesecond value represents another of logical zero or logical one.

-   2A. The method of claim 1, wherein:

each of the first value and the second value includes all zeros for allbits, except for a corresponding Least Significant Bit (LSB); and

a LSB of the first value is one of zero or a one, and a LSB of thesecond value is another of zero or one.

-   2B. The method of claim 1, wherein:

the first value represents a logical zero, and the second valuerepresents a logical one.

-   3. The method of claim 1, wherein further comprising:

grouping the plurality of compressed mask elements of the compressedmask in a first array of compressed mask elements and a second array ofcompressed mask elements,

wherein selectively dropping out feature elements from the tensorcomprises:

during a first dropout cycle, using the first array of compressed maskelements to selectively dropout feature elements from a first subset offeature elements of the tensor, and

during a first second cycle, using the second array of compressed maskelements to selectively dropout feature elements from a second subset offeature elements of the tensor, the second subset being different fromthe first subset.

-   4. The method of claim 3, wherein during the first dropout cycle,    using the first array of compressed mask elements to selectively    dropout feature elements from the first subset comprises:

during the first dropout cycle, transmitting, to each of N lanes of acomputing unit, (i) the first array of compressed mask elements and (ii)a corresponding feature element of the first subset, such that at lane i(where i=0, . . . , (N−1)), a feature element Fi is transmitted;

right shifting, at each lane i, the first array of compressed maskelements by i number of bits; and

either dropping or retaining the feature element Fi at the lane i, basedon a Least Significant Bit (LSB) of a right-shifted first array at thelane i.

-   5. The method of claim 4, further comprising:

at lane 0 (i.e., i=0), dropping the feature element F0, based on the LSBof a first right-shifted first array at the lane 0 having a first value,where first right-shifted first array at the lane 0 is generated byright shifting the first array by 0 bit;

at lane 1 (i.e., i=1), retaining the feature element F1, based on theLSB of a second right-shifted first array at the lane 1 having a secondvalue that is different from the first value, where second right-shiftedfirst array at the lane 1 is generated by right shifting the first arrayby 1 bit; and

at lane 2 (i.e., i=2), retaining the feature element F2, based on theLSB of a third right-shifted first array at the lane 2 having the secondvalue, where third right-shifted first array at the lane 2 is generatedby right shifting the first array by 2 bits.

-   6. The method of claim 4, wherein during the second dropout cycle,    using the second array of compressed mask elements to selectively    dropout feature elements from the second subset comprises:

during the second dropout cycle, transmitting, to each of the N lanes ofthe computing unit, (i) the second array of compressed mask elements and(ii) a corresponding feature element of the second subset, such that atlane i (where i=0, . . . , (N−1)), a feature element F(i+N) is received;

during the second dropout cycle, right shifting, at each lane i, thesecond array of compressed mask elements by i number of bits; and

during the second dropout cycle, either dropping or retaining thefeature element F(i+N) at the lane i, based on a LSB of a right-shiftedsecond array at the lane i.

-   7. The method of claim 5, further comprising, during the second    dropout cycle, at lane 0 (i.e., i=0), perform one of:

dropping the feature element F(0+N), in response to the LSB of a firstright-shifted second array at the lane 0 having the first value, wherefirst right-shifted second array at the lane 0 is generated by rightshifting the second array by 0 bit, or

retaining the feature element F(0+N), in response to the LSB of thefirst right-shifted second array at the lane 0 having the second value.

-   8. The method of claim 1, wherein generating the mask comprises:

arranging the plurality of mask elements in a first order in the mask,

wherein the plurality of compressed mask elements is arranged in asecond order in the compressed mask, the second order being differentfrom the first order.

-   8a. The method of claim 8, wherein:

the plurality of mask elements is arranged in the first order in themask, such that the first mask element and the second mask element areconsecutive mask elements in the mask;

the first mask element and the second mask element are compressed torespectively generate a first compressed mask element and a secondcompressed mask element; and

the plurality of compressed mask elements is arranged in the secondorder in the compressed mask, such that the first compressed maskelement and the second compressed mask element are non-consecutivecompressed mask elements in the compressed mask.

-   8b. The method of claim 8a, wherein:

the first compressed mask element and the second compressed mask elementare separated by one or more third compressed mask elements in thecompressed mask.

-   8c. The method of claim 1, wherein:

the plurality of mask elements of the mask comprises (i) a plurality ofeven mask elements and (ii) a plurality of odd mask elements, such thateven and odd mask elements are arranged in an interleaved manner in themask,

wherein compressing each mask element includes:

compressing each of the plurality of even mask elements to generate acorresponding compressed even mask element of a plurality of compressedeven mask elements, and compressing each of the plurality of odd maskelements to generate a corresponding compressed odd mask element of aplurality of compressed odd mask elements, wherein the plurality ofcompressed mask elements includes (i) the plurality of compressed evenmask elements and (ii) the plurality of compressed odd mask elements,and

consecutively arranging the plurality of compressed even mask elementsin the compressed mask, and consecutively arranging the plurality ofcompressed odd mask elements in the compressed mask.

-   8d. The method of claim 8c, further comprising:

forming a first array of compressed mask elements comprising theconsecutively arranged compressed even mask elements; and

forming a second array of compressed mask elements comprising theconsecutively arranged compressed odd mask elements.

-   8e. The method of claim 8d, wherein the first array of compressed    mask elements excludes any compressed odd mask element, and the    second array of compressed mask elements excludes any compressed    even mask element.-   8f. The method of claim 8d, wherein the feature elements of the    tensor comprise a plurality of even feature elements and a plurality    of odd feature elements, and wherein selectively dropping out the    feature elements from the tensor comprises:

selectively dropping out one or more of the plurality of even featureelements, based on the first array; and

selectively dropping out one or more of the plurality of odd featureelements, based on the second array.

-   8g. The method of claim 8d, wherein:

the tensor includes 2N number of feature elements that includes aplurality of even feature elements and a plurality of odd featureelements, where N is a positive integer;

a computing unit includes N number of lanes to implement the selectivedropping out, such that each lane of the N number of lanes processes acorresponding even feature element and a corresponding odd featureelement; and

selectively dropping out feature elements from the tensor comprises:

-   -   receiving, at a lane i (where i=0, . . . , (N−1)) of the        computing unit, (i) a corresponding even feature element 2 i and        a corresponding odd feature element (2 i+1), (ii) the first        array of compressed mask elements, and (iii) the second array of        compressed mask elements, and    -   selectively dropping, at the lane i, none, at least one, or both        the even feature element 2 i and the odd feature (2 i+1), based        on the first array of compressed mask elements and the second        array of compressed mask elements.

-   8h. The method of claim 8g, wherein selectively dropping, at the    lane i, none, at least one, or both the even feature element 2 i and    the odd feature (2 i+1) comprises:

logically right shifting, at the lane i of the computing unit, (i) thefirst array of compressed mask elements to generate a shifted firstarray of compressed mask elements and (ii) the second array ofcompressed mask elements to generate a shifted second array ofcompressed mask elements;

dropping, at the lane i, the even feature element 2 i if a LeastSignificant Bit (LSB) of the shifted first array of compressed maskelements is a zero; and

dropping, at the lane i, the odd feature element (2 i+1) if a LSB of theshifted second array of compressed mask elements is a zero.

-   8i. The method of claim 8h, wherein logically right shifting, at the    lane i of the computing unit, the first array of compressed mask    elements and the second array of compressed mask elements comprises:

logically right shifting, at the lane i of the computing unit, (i) thefirst array of compressed mask elements by i number of bits and (ii) thesecond array of compressed mask elements by i number of bits.

-   9. The method of claim 4, wherein:

each of the N lanes simultaneously processes K bits of feature elements,where K is a positive integer; and

each feature element has K bits, such that during a specific dropoutcycle, each lane processes one corresponding feature element.

-   10. The method of claim 9, wherein:

each feature element has 32 bits (i.e., K=32); and

each mask element of the plurality of mask elements of the maskcomprises corresponding 32 bits.

-   11. The method of claim 1, wherein selectively dropping out the    feature elements from the tensor comprises:

dropping out the first feature element from the tensor, such that a zerovalue of the first feature element in the tensor is propagated to asubsequent neural network layer receiving the tensor; and

refraining from dropping out the second feature element from the tensor,such that an original value of the second feature element in the tensoris retained and propagated to the subsequent neural network layerreceiving the tensor.

-   12. The method of claim 1, wherein:

generating the mask comprises generating the mask in a general-purposehardware;

compressing each mask element comprises compressing each mask element inthe general-purpose hardware;

storing the compressed mask in the memory comprises storing thecompressed mask in a reconfigurable on-chip memory; and

selectively dropping out feature elements from the tensor comprises:

transferring the mask from the reconfigurable on-chip memory to areconfigurable on-chip computing unit, and selectively dropping outfeature elements from the tensor in the reconfigurable on-chip computingunit, wherein the reconfigurable on-chip computing unit and thereconfigurable on-chip memory unit are within an Integrated Circuit (IC)chip.

-   13. The method of claim 12, wherein storing the compressed mask in    the reconfigurable on-chip memory comprises:

storing the compressed mask in an off-chip memory, and transferring thecompressed mask from the off-chip memory to the reconfigurable on-chipmemory, wherein the off-chip memory is external to the IC.

-   14. The method of claim 1, wherein generating the mask comprises:

receiving an indication of a percentage of a plurality of featureelements of the tensor that are to be dropped;

randomly or pseudo-randomly selecting a subset of the plurality offeature elements of the tensor, the subset being the indicatedpercentage of the plurality of feature elements of the tensor; and

generating the mask comprising the plurality of mask elements, based onthe randomly or pseudo-randomly selected subset of the plurality offeature elements.

-   14a. The method of claim 14, wherein a subset of the plurality of    mask elements includes the first value indicating that the    corresponding subset of the plurality of feature elements of the    tensor are to be dropped, the subset of the plurality of mask    elements being the percentage of the plurality of mask elements.-   14b. The method of claim 1, wherein each mask element of the    plurality of mask elements of the mask comprises a number of bits    that is equal to a number of bits in each feature element of the    tensor.-   14c. The method of claim 1, wherein selectively dropping out feature    elements from the tensor comprises:

selectively dropping out, based on the compressed mask, feature elementsfrom the tensor output by the neural network layer that is on a forwardpath of a neural network topology,

wherein the method further comprises selectively dropping out, based onthe compressed mask, feature elements from another tensor output byanother neural network layer that is on a backpropagation path of theneural network topology.

-   15. A data processing system, comprising:

general hardware to (i) generate a mask comprising a plurality ofmulti-bit mask elements, and (ii) compress the mask to generate acompressed mask comprising a plurality of single-bit compressed maskelements;

a bus system to transmit the compressed mask from the general hardwareto reconfigurable hardware; and

the reconfigurable hardware to selectively drop out feature elements ofa tensor, based on the compressed mask.

-   16. The data processing system of claim 15, wherein:

each mask element of the plurality of mask elements of the maskcomprises a number of bits that is equal to a number of bits in eachfeature element of the tensor.

-   17. A data processing system, comprising:

a bus system; and

reconfigurable hardware to receive, over the bus system, a maskcomprising a plurality of mask element arranged in an array, wherein thereconfigurable hardware comprises a reconfigurable computing unitcomprising a plurality of lanes,

wherein each lane of the plurality of lanes is to (i) receive acorresponding feature element of a tensor and the array, (ii) shift thearray by a corresponding number of bits, to generate a shifted array,and (iii) selectively drop or retain the corresponding received featureelement of the tensor, based on a Least Significant Bit (LSB) of thecorresponding shifted array.

-   18. The data processing system of claim 17, wherein a first lane of    the plurality of lanes is to shift the array by a first number of    bits that is different from a second number of bits by which the    array is shifted by a second lane of the plurality of lanes.-   19. A method for selectively dropping out feature elements from a    tensor, the method comprising:

generating a mask comprising a plurality of multi-bit mask elements;

compressing each multi-bit mask element of the plurality of maskelements of the mask to generate a corresponding single-bit compressedmask element of a plurality of compressed mask elements of a compressedmask, thereby generating the compressed mask from the mask;

storing the compressed mask in a memory; and

selectively dropping out feature elements from the tensor, based on thecompressed mask.

-   20. The method of claim 19, further comprising:

determining wherever to drop out a feature or retain the feature of thetensor, based on a corresponding compressed mask element of theplurality of compressed mask elements of the compressed mask.

Clause Set 2

-   1. A method for selectively dropping out feature elements from a    tensor, the method comprising:

generating a mask comprising a plurality of mask elements arranged in afirst order;

generating a compressed mask comprising a plurality of compressed maskelements arranged in a second order that is different from the firstorder, wherein generating the compressed mask comprises compressing eachmask element of the plurality of mask elements of the mask to generate acorresponding compressed mask element of the plurality of compressedmask elements of the compressed mask, wherein individual compressed maskelement of the plurality of compressed mask elements is indicative ofwhether a corresponding feature element of the tensor output by a neuralnetwork layer is to be dropped out or retained; and

selectively dropping out feature elements from the tensor, based on thecompressed mask.

-   2. The method of claim 1, wherein:

the plurality of mask elements is arranged in the first order in themask, such that a first mask element and a second mask element areconsecutive mask elements in the mask;

the first mask element and the second mask element are compressed torespectively generate a first compressed mask element and a secondcompressed mask element; and

the plurality of compressed mask elements is arranged in the secondorder in the compressed mask, such that the first compressed maskelement and the second compressed mask element are non-consecutivecompressed mask elements in the compressed mask.

-   3. The method of claim 2, wherein:

the first compressed mask element and the second compressed mask elementare separated by one or more third compressed mask elements in thecompressed mask.

-   4. The method of claim 1, wherein:

the plurality of mask elements of the mask comprises (i) a plurality ofeven mask elements and (ii) a plurality of odd mask elements, such thateven and odd mask elements are arranged in an interleaved manner in themask,

wherein generating the compressed mask comprises:

compressing each of the plurality of even mask elements to generate acorresponding compressed even mask element of a plurality of compressedeven mask elements, and

compressing each of the plurality of odd mask elements to generate acorresponding compressed odd mask element of a plurality of compressedodd mask elements, wherein the plurality of compressed mask elementsincludes (i) the plurality of compressed even mask elements and (ii) theplurality of compressed odd mask elements, and

consecutively arranging the plurality of compressed even mask elementsin the compressed mask, and consecutively arranging the plurality ofcompressed odd mask elements in the compressed mask.

-   5. The method of claim 4, further comprising:

forming a first array of compressed mask elements comprising theconsecutively arranged compressed even mask elements; and

forming a second array of compressed mask elements comprising theconsecutively arranged compressed odd mask elements.

-   6. The method of claim 5, wherein the first array of compressed mask    elements excludes any compressed odd mask element, and the second    array of compressed mask elements excludes any compressed even mask    element.-   7. The method of claim 5, wherein the feature elements of the tensor    comprise a plurality of even feature elements and a plurality of odd    feature elements, and wherein selectively dropping out the feature    elements from the tensor comprises:

selectively dropping out one or more of the plurality of even featureelements, based on the first array; and

selectively dropping out one or more of the plurality of odd featureelements, based on the second array.

-   8. The method of claim 7, wherein:

the tensor includes 2N number of feature elements that includes aplurality of even feature elements and a plurality of odd featureelements, where N is a positive integer; and

a computing unit includes N number of lanes to implement the selectivedropping out, such that each lane of the N number of lanes processes acorresponding even feature element and a corresponding odd featureelement.

-   9. The method of claim 8, wherein selectively dropping out feature    elements from the tensor comprises:

receiving, at a lane i (where i=0, . . . , (N−1)) of the computing unit,(i) a corresponding even feature element 2 i and a corresponding oddfeature element (2 i+1), (ii) the first array of compressed maskelements, and (iii) the second array of compressed mask elements; and

selectively dropping, at the lane i, none, at least one, or both theeven feature element 2 i and the odd feature (2 i+1), based on the firstarray of compressed mask elements and the second array of compressedmask elements.

-   10. The method of claim 9, wherein selectively dropping, at the lane    i, none, at least one, or both the even feature element 2 i and the    odd feature (2 i+1) comprises:

logically right shifting, at the lane i of the computing unit, (i) thefirst array of compressed mask elements to generate a shifted firstarray of compressed mask elements and (ii) the second array ofcompressed mask elements to generate a shifted second array ofcompressed mask elements;

dropping, at the lane i, the even feature element 2 i if a LeastSignificant Bit (LSB) of the shifted first array of compressed maskelements is a zero; and

dropping, at the lane i, the odd feature element (2 i+1) if a LSB of theshifted second array of compressed mask elements is a zero.

-   11. The method of claim 10, wherein logically right shifting, at the    lane i of the computing unit, the first array of compressed mask    elements and the second array of compressed mask elements comprises:

logically right shifting, at the lane i of the computing unit, (i) thefirst array of compressed mask elements by i number of bits and (ii) thesecond array of compressed mask elements by i number of bits.

-   12. The method of claim 1, wherein selectively dropping out the    feature elements from the tensor comprises:

dropping out the first feature element from the tensor, such that a zerovalue of the first feature element in the tensor is propagated to asubsequent neural network layer receiving the tensor; and

refraining from dropping out the second feature element from the tensor,such that an original value of the second feature element in the tensoris retained and propagated to the subsequent neural network layerreceiving the tensor.

-   13. The method of claim 1, wherein:

generating the mask comprises generating the mask in a general-purposehardware;

compressing each mask element comprises compressing each mask element inthe general-purpose hardware;

storing the compressed mask in the memory comprises storing thecompressed mask in a reconfigurable on-chip memory; and

selectively dropping out feature elements from the tensor comprises:

transferring the mask from the reconfigurable on-chip memory to areconfigurable on-chip computing unit, and selectively dropping outfeature elements from the tensor in the reconfigurable on-chip computingunit, wherein the reconfigurable on-chip computing unit and thereconfigurable on-chip memory unit are within an IC chip.

-   13a. The method of claim 13, wherein storing the compressed mask in    the reconfigurable on-chip memory comprises:

storing the compressed mask in an off-chip memory, and transferring thecompressed mask from the off-chip memory to the reconfigurable on-chipmemory, wherein the off-chip memory is external to the IC.

-   13b. The method of claim 1, wherein generating the mask comprises:

receiving an indication of a percentage of a plurality of featureelements of the tensor that are to be dropped;

randomly or pseudo-randomly selecting a subset of the plurality offeature elements of the tensor, the subset being the indicatedpercentage of the plurality of feature elements of the tensor; and

generating the mask comprising the plurality of mask elements, based onthe randomly or pseudo-randomly selected subset of the plurality offeature elements.

-   13c. The method of claim 13a, wherein a subset of the plurality of    mask elements includes the first value indicating that the    corresponding subset of the plurality of feature elements of the    tensor are to be dropped, the subset of the plurality of mask    elements being the percentage of the plurality of mask elements.-   13d. The method of claim 1, wherein each mask element of the    plurality of mask elements of the mask comprises a number of bits    that is equal to a number of bits in each feature element of the    tensor.-   13e. The method of claim 1, wherein selectively dropping out feature    elements from the tensor comprises:

selectively dropping out, based on the compressed mask, feature elementsfrom the tensor output by the neural network layer that is on a forwardpath of a neural network topology,

wherein the method further comprises selectively dropping out, based onthe compressed mask, feature elements from another tensor output byanother neural network layer that is on a backpropagation path of theneural network topology.

-   14. The method of claim 1, wherein:

each mask element of the plurality of mask elements includes acorresponding plurality of bits representing either a first value or asecond value, the first value being different from the second value;

first one or more mask elements of the plurality of mask elements havingthe first value are compressed to generate corresponding first one ormore compressed mask elements of the plurality of compressed maskelements having a third value; and

second one or more mask elements of the plurality of mask elementshaving the second value are compressed to generate corresponding secondone or more compressed mask elements of the plurality of compressed maskelements having a fourth value, the fourth value being different fromthe third value;

-   14a. The method of claim 14, wherein:

each of the first value and the second value includes all zeros for allbits, except for a corresponding Least Significant Bit (LSB); and

a LSB of the first value is one of zero or a one, and a LSB of thesecond value is another of zero or one.

-   15. The method of claim 14, wherein:

the first value represents a logical zero, and the second valuerepresents a logical one; and

each compressed mask element of the plurality of compressed maskelements has a single bit comprising either (i) a zero to indicate thatthe corresponding feature element of the tensor output is to be droppedout, or (i) a one to indicate that the corresponding feature element ofthe tensor output is to be retained.

-   16. The method of claim 1, wherein:

each mask element of the mask comprises corresponding 16 bits; and

each feature element of the tensor comprises corresponding 16 bits.

-   17. The method of claim 1, wherein:

number of bits of each mask element of the mask is same as a number ofbits of each feature element of the tensor.

-   18. A non-transitory computer readable storage medium impressed with    computer program instructions, the instructions, when executed on a    processor, implement a method comprising:

generating a mask comprising a plurality of mask elements arranged in(i) a first array comprising a first subset of the plurality of maskelements and (ii) a second array comprising a second subset of theplurality of mask elements, wherein each mask element of the pluralityof mask elements comprises a corresponding single bit representingeither (i) a zero to indicate that a corresponding feature element of atensor output by a neural network layer is to be dropped out, or (ii) aone to indicate that the corresponding feature element of the tensoroutput by the neural network layer is to be not dropped out;

receiving, at a first lane of a plurality of lanes of a computingelement, (i) at least a first feature element and a second featureelement of the tensor output by the neural network layer and (ii) thefirst array and the second array;

logically right shifting, at the first lane of the computing element,each of the first array and the second array by one or more bits, torespectively generate a shifted first array and a shifted second array;

selectively either dropping out or retaining the first feature elementof the tensor, based on a Least Significant Bit (LSB) of the shiftedfirst array; and

selectively either dropping out or retaining the second feature elementof the tensor, based on the LSB of the shifted second array.

-   19. The computer readable storage medium of claim 18, wherein the    plurality of lanes includes N number of lanes, each lane of the    plurality of lanes having a corresponding lane number that varies    from 0 to (N−1), and wherein logically right shifting at the first    lane comprises:

logically right shifting, at the first lane of the computing element,each of the first array and the second array by a number of bits that isbased on a corresponding first lane number of the first lane.

-   20. The computer readable storage medium of claim 19, wherein the    number of bits, by which each of the first array and the second    array is logically right shifted, is equal to the first lane number    of the first lane.-   21. The computer readable storage medium of claim 18, wherein:

the first feature element of the tensor is dropped out and replaced byzeros, based on the LSB of the shifted first array being a zero; and

the second feature element of the tensor is not dropped out andretained, based on the LSB of the shifted second array being a one.

-   22. The computer readable storage medium of claim 18, wherein the    mask is a first mask, wherein the plurality of mask elements is a    first plurality of mask elements, and wherein the method further    comprises:

prior to generating the first mask, generating a second mask comprisinga plurality of second mask elements, each mask element of the pluralityof second mask elements comprising a corresponding plurality of bits;and

compressing each mask element of the second plurality of mask elementsof the second mask to generate the corresponding mask element of thefirst plurality of mask elements of the first mask, thereby generatingthe second mask from the first mask.

-   23. A method for selectively dropping out feature elements from a    tensor, the method comprising:

generating a mask comprising a plurality of mask elements arranged in afirst order; and

compressing each mask element of the plurality of mask elements togenerate a corresponding compressed mask element of a plurality ofcompressed mask elements, and arranging the plurality of compressed maskelements in a second order that is different from the first order,wherein the compressed mask elements are to selectively implementdropout of feature elements of a tensor.

While the present invention is disclosed by reference to the preferredembodiments and examples detailed above, it is to be understood thatthese examples are intended in an illustrative rather than in a limitingsense. It is contemplated that modifications and combinations willreadily occur to those skilled in the art, which modifications andcombinations will be within the spirit of the invention and the scope ofthe following claims.

1. A method for selectively dropping out feature elements from a tensorin a neural network, the method comprising: receiving a first tensorfrom a first layer of a neural network, the first tensor comprising afirst set of N feature elements, where N is a positive integer;obtaining a compressed mask for the first tensor, the compressed maskcomprising a first array of N single-bit mask elements; receiving thefirst array of N single bit mask elements at each of N lanes of areconfigurable computing unit; respectively receiving a feature elementof the first set of N feature elements of the first tensor at the Nlanes of the reconfigurable computing unit; selectively dropping outfeature elements from the first set of N feature elements of the firsttensor to generate a third set of N feature elements to use as at leastpart of a second tensor by selecting either a zero value or a featureelement of the first set of N feature elements received at a lane of theN lanes of the reconfigurable computing unit for a corresponding featureelement of the third set of N feature elements, based on a single-bitmask element of the first array of N single-bit mask elements selectedbased on the lane; and propagating the second tensor to a second layerof the neural network.
 2. The method of claim 1, wherein the firsttensor also includes a second set of N feature elements, and thecompressed mask also includes a second array of N single-bit maskelements, the method further comprising: receiving the second array of Nsingle bit mask elements at each of N lanes of the reconfigurablecomputing unit; respectively receiving a feature element of the secondset of N feature elements of the first tensor at the N lanes of thereconfigurable computing unit; selectively dropping out feature elementsfrom the second set of N feature elements of the first tensor togenerate a fourth set of N feature elements to use as a part of thesecond tensor by selecting either the zero value or a feature element ofthe second set of N feature elements received at the lane of the N lanesof the reconfigurable computing unit for a corresponding feature elementof the fourth set of N feature elements, based on a single-bit maskelement of the second array of N single-bit mask elements selected basedon the lane.
 3. The method of claim 2, further comprising: selectivelydropping out feature elements from the first set of N feature elementsof the first tensor to generate the third set of N feature elements touse as a part of the second tensor by, at each of the N lanes of thereconfigurable computing unit, selecting either the zero value or arespective feature element of the first set of N feature elementsreceived by a respective lane of the N lanes of the reconfigurablecomputing unit for a corresponding feature element of the third set of Nfeature elements, based on a single-bit mask element of the first arrayof N single-bit mask elements selected based on the respective lane; andselectively dropping out feature elements from the second set of Nfeature elements of the first tensor to generate the fourth set of Nfeature elements to use as a part of the second tensor by, at each ofthe N lanes of the reconfigurable computing unit, selecting either thezero value or a respective feature element of the second set of Nfeature elements received by the respective lane of the N lanes of thereconfigurable computing unit for a corresponding feature element of thefourth set of N feature elements, based on a single-bit mask element ofthe second array of N single-bit mask elements selected based on therespective lane.
 4. The method of claim 2, wherein: the first set of Nfeature elements are adjacent feature elements in the first tensor andthe second set of N feature elements are adjacent feature elements inthe first tensor separate from the first set of N feature elements; andsaid receiving of the second set of N feature elements occurs during asecond vector bus cycle that starts after a start of a first vector buscycle where said receiving of the first set of N feature elementsoccurs.
 5. The method of claim 4, wherein the first array of Nsingle-bit mask elements is received over a scalar bus during the firstvector bus cycle and the second array of N single-bit mask elements isreceived over the scalar bus during the second vector bus cycle.
 6. Themethod of claim 4, further comprising at each of the N lanes of thereconfigurable computing unit: during a first dropout cycle thatincludes the first vector bus cycle, right-shifting the first array of Nsingle-bit mask elements by a number of bits corresponding to a lanenumber of a respective lane of the reconfigurable computing unit togenerate a right-shifted first array of single-bit mask elements, andselecting either the zero value or the feature element of the first setof N feature elements received by the lane for the corresponding featureelement of the third set of N feature elements, based on a LeastSignificant Bit (LSB) of the right-shifted first array of single-bitmask elements; and during a second dropout cycle that includes thesecond vector bus cycle, right-shifting the second array of N single-bitmask elements by a number of bits corresponding to the lane number togenerate a right-shifted second array of single-bit mask elements, andselecting either the zero value or the feature element of the second setof N feature elements received by the lane for the corresponding featureelement of the fourth set of N feature elements, based on a LSB of theright-shifted second array of single-bit mask elements; wherein the Nlanes of the reconfigurable computing unit are numbered from 0 to N−1.7. The method of claim 4, further comprising: during a first dropoutcycle that includes the first vector bus cycle in the lane of the Nlanes of the reconfigurable computing unit, right-shifting the firstarray of N single-bit mask elements by a number of bits corresponding toa lane number of the lane to generate a right-shifted first array ofsingle-bit mask elements, and selecting either the zero value or thefeature element of the first set of N feature elements received by thelane for the corresponding feature element of the third set of N featureelements based on a Least Significant Bit (LSB) of the right-shiftedfirst array of single-bit mask elements; and during a second dropoutcycle that includes the second vector bus cycle in the lane of the Nlanes of the reconfigurable computing unit, right-shifting the secondarray of N single-bit mask elements by the number of bits correspondingto the lane number of the lane to generate a right-shifted second arrayof single-bit mask elements, and selecting either the zero value or thefeature element of the second set of N feature elements received by thelane for the corresponding feature element of the fourth set of Nfeature elements, based on a LSB of the right-shifted second array ofsingle-bit mask elements; wherein the N lanes of the reconfigurablecomputing unit are numbered from 0 to N−1.
 8. The method of claim 7,wherein the first dropout cycle and the second dropout cycle overlap intime.
 9. The method of claim 2, wherein the first array of N single-bitmask elements and the second array of N single-bit mask elements arereceived by each of the N lanes of the reconfigurable computing unit ina single scalar bus cycle.
 10. The method of claim 2, wherein: the firstset of N feature elements and the second set of N feature elements areinterleaved in the first tensor so that the first set of N featureelements has even feature elements of the first tensor and the secondset of N feature elements has odd feature elements of the first tensor;the first array of N single bit mask elements consists of consecutivelyarranged even single-bit mask elements and the second array of N singlebit mask elements consists of consecutively arranged odd single-bit maskelements; and said receiving of the first set of N feature elements andsaid receiving of the second set of N feature elements occur during asingle vector bus cycle, wherein each of the N lanes of thereconfigurable computing unit receive an even feature element and an oddfeature element of the first tensor.
 11. The method of claim 10, furthercomprising, in the lane of the N lanes of the reconfigurable computingunit: right-shifting both the first array of N single bit mask elementsand the second array of N single bit mask elements by a number of bitsbased on a lane number of the lane of the N lanes of the reconfigurablecomputing unit to respectively generate a right-shifted even array ofsingle-bit mask elements and a right-shifted odd array of single-bitmask elements; selecting, for the corresponding feature element of thethird set of feature N elements, either the zero value or the receivedeven feature element of the first set of N feature elements based on aLeast Significant Bit (LSB) of the right-shifted even array ofsingle-bit mask elements; selecting, for the corresponding featureelement of the fourth set of N feature elements, either the zero valueor the received odd feature element of the second set of N featureelements based on a LSB of the right-shifted odd array of single-bitmask elements.
 12. The method of claim 10, further comprising at each ofthe N lanes of the reconfigurable computing unit: right-shifting boththe first array of N single bit mask elements and the second array of Nsingle bit mask elements by a number of bits based on a lane number of arespective lane of the N lanes of the reconfigurable computing unit togenerate a right-shifted even array of single-bit mask elements and aright-shifted odd array single-bit mask elements; selecting, for acorresponding feature element of the third set, either the zero value orthe received even feature element of the first set of N feature elementsbased on a Least Significant Bit (LSB) of the right-shifted even arrayof single-bit mask elements; selecting, for a corresponding featureelement of the fourth set of N feature elements, either the zero valueor the received odd feature element of the second set of N featureelements based on a LSB of the right-shifted odd array of single-bitmask elements.
 13. The method of claim 1, further comprising: generatinga mask comprising at least N mask elements, wherein each mask element ofthe at least N mask elements has either a first value or a second valuethat are each represented using a plurality of bits; respectivelycompressing N mask elements of the at least N mask elements to generatea corresponding single-bit mask element of the first array of Nsingle-bit mask elements of the compressed mask; and storing thecompressed mask in a memory.
 14. A non-transitory computer readablestorage medium impressed with computer program instructions, theinstructions, when executed by a reconfigurable computing unit having Nlanes, implement a method comprising: receiving a first array of Nsingle bit mask elements of a compressed mask at each of N lanes of areconfigurable computing unit; respectively receiving a feature elementof the first set of N feature elements of the first tensor at the Nlanes of the reconfigurable computing unit; selectively dropping outfeature elements from the first set of N feature elements of the firsttensor to generate a third set of N feature elements to use as at leasta part of a second tensor by, at each of the N lanes of thereconfigurable computing unit, selecting either a zero value or arespective feature element of the first set of N feature elementsreceived by respective lanes of the N lanes of the reconfigurablecomputing unit for a corresponding feature element of the third set of Nfeature elements, based on a single-bit mask element of the first arrayof N single-bit mask elements selected based on the respective lane. 15.The non-transitory computer readable storage medium of claim 14, whereinthe first tensor also includes a second set of N feature elements, andthe compressed mask also includes a second array of N single-bit maskelements, the method further comprising: receiving the second array of Nsingle bit mask elements at each of N lanes of the reconfigurablecomputing unit; respectively receiving a feature element of the secondset of N feature elements of the first tensor at the N lanes of thereconfigurable computing unit; selectively dropping out feature elementsfrom the second set of N feature elements of the first tensor togenerate the fourth set of N feature elements to use as a part of thesecond tensor by, at each of the N lanes of the reconfigurable computingunit, selecting either the zero value or a respective feature element ofthe second set of N feature elements received by respective lanes of theN lanes of the reconfigurable computing unit for a corresponding featureelement of the fourth set of N feature elements, based on a single-bitmask element of the second array of N single-bit mask elements selectedbased on the respective lane.
 16. The non-transitory computer readablestorage medium of claim 15, wherein: the first set of N feature elementsare adjacent feature elements in the first tensor and the second set ofN feature elements are adjacent feature elements in the first tensorseparate from the first set of N feature elements; and said receiving ofthe second set of N feature elements occurs during a second vector buscycle that starts after a start of a first vector bus cycle wherein saidreceiving of the first set of N feature elements occurs; the method, ateach of the N lanes of the reconfigurable computing unit, furthercomprising: during a first dropout cycle that includes the first vectorbus cycle, right-shifting the first array of N single-bit mask elementsby a number of bits corresponding to a lane number of s respective laneof the reconfigurable computing unit to generate a right-shifted firstarray of single-bit mask elements, and selecting either the zero valueor the feature element of the first set of N feature elements receivedby the lane for the corresponding feature element of the third set of Nfeature elements, based on a Least Significant Bit (LSB) of theright-shifted first array of single-bit mask elements; and during asecond dropout cycle that includes the second vector bus cycle,right-shifting the second array of N single-bit mask elements by anumber of bits corresponding to the lane number of the respective laneof the reconfigurable computing unit to generate a right-shifted secondarray of single-bit mask elements, and selecting either the zero valueor the feature element of the second set of N feature elements receivedby the respective lane for the corresponding feature element of thefourth set of N feature elements, based on a LSB of the right-shiftedsecond array of single-bit mask elements; wherein the N lanes of thereconfigurable computing unit are numbered from 0 to N−1.
 17. Thenon-transitory computer readable storage medium of claim 15, wherein:the first set of N feature elements and the second set of N featureelements are interleaved in the first tensor so that the first set of Nfeature elements has even feature elements of the first tensor and thesecond set of N feature elements has odd feature elements of the firsttensor; the first array of N single bit mask elements consists ofconsecutively arranged even single-bit mask elements and the secondarray of N single bit mask elements consists of consecutively arrangedodd single-bit mask elements; and said receiving of the first set of Nfeature elements and said receiving of the second set of N featureelements occur during a single vector bus cycle, wherein each of the Nlanes of the reconfigurable computing unit receive an even featureelement and an odd feature element of the first tensor; the method, ateach of the N lanes of the reconfigurable computing unit, furthercomprising: right-shifting both the first array of N single bit maskelements and the second array of N single bit mask elements by a numberof bits based on a lane number of a respective lane of the N lanes ofthe reconfigurable computing unit to generate a right-shifted even arrayof single-bit mask elements and a right-shifted odd array of single-bitmask elements; selecting, for a corresponding feature element of thethird set of N feature elements, either the zero value or the receivedeven feature element of the first set of N feature elements based on aLeast Significant Bit (LSB) of the right-shifted even array ofsingle-bit mask elements; selecting, for a corresponding feature elementof the fourth set of N feature elements, either the zero value or thereceived odd feature element of the second set of N feature elementsbased on a LSB of the right-shifted odd array of single-bit maskelements.
 18. The non-transitory computer readable storage medium ofclaim 14, the method further comprising: obtaining the first tensor froma first layer of a neural network; and propagating the second tensor toa second layer of the neural network.
 19. A data processing system,comprising a reconfigurable computing unit having N lanes, coupled toone or more buses, and configured to: receive a first array of N maskbits of a compressed mask (where N is a positive integer) over the oneor more buses at each of the N lanes of the reconfigurable computingunit; respectively receive a feature element of a first set of N featureelements of a first tensor at the N lanes of the reconfigurablecomputing unit over the one or more buses; and selectively dropoutfeature elements from the first set of N feature elements of the firsttensor to generate a third set of N feature elements to use as at leastpart of a second tensor by selecting either a zero value or a featureelement of the first set of N feature elements received at a lane of theN lanes of the reconfigurable computing unit for a corresponding featureelement of the third set of N feature elements, based on a single maskbit of the first array of N mask bits selected based on the lane. 20.The data processing system of claim 19, further comprising: a firstlayer of a neural network; and a second layer of the neural network; thereconfigurable computing unit further configured to: receive the firsttensor from the first layer of the neural network; and propagate thesecond tensor to the second layer of the neural network.
 21. The dataprocessing system of claim 19, wherein the first tensor also includes asecond set of N feature elements, the compressed mask also includes asecond array of N mask bits, and the reconfigurable computing unit isfurther configured to: receive the second array of N mask bits over theone or more buses at each of the N lanes of the reconfigurable computingunit; respectively receive a feature element of the second set of Nfeature elements of the first tensor at the N lanes of thereconfigurable computing unit; selectively dropout feature elements fromthe second set of N feature elements of the first tensor to generate afourth set of N feature elements to use as a part of the second tensorby selecting either the zero value or a feature element of the secondset of N feature elements received at the lane of the N lanes of thereconfigurable computing unit for a corresponding feature element of thefourth set of N feature elements, based on a single mask bit of thesecond array of N mask bits selected based on the lane.
 22. The dataprocessing system of claim 21, wherein the first set of N featureelements are adjacent feature elements in the first tensor and thesecond set of N feature elements are adjacent feature elements in thefirst tensor separate from the first set of N feature elements, and thelane of the N lanes of the reconfigurable computing unit is furtherconfigured to: during a first dropout cycle that includes the receivingof the first set of N feature elements, right-shift the first array of Nmask bits by a number of bits corresponding to a lane number of the laneto generate a right-shifted first array of mask bits, and selectingeither the zero value or the feature element of the first set of Nfeature elements received by the lane for the corresponding featureelement of the third set N of feature elements based on a LeastSignificant Bit (LSB) of the right-shifted first array of mask bits; andduring a second dropout cycle that includes the receiving of the secondset of N feature elements, right-shift the second array of N mask bitsby the number of bits corresponding to the lane number of the lane togenerate a right-shifted second array of mask bits, and selecting eitherthe zero value or the feature element of the second set of N featureelements received by the lane for the corresponding feature element ofthe fourth set of N feature elements, based on a LSB of theright-shifted second array of mask bits; wherein the N lanes of thereconfigurable computing unit are numbered from 0 to N−1.
 23. The dataprocessing system of claim 21, wherein: the first set of N featureelements and the second set of N feature elements are interleaved in thefirst tensor so that the first set of N feature elements has evenfeature elements of the first tensor and the second set of N featureelements has odd feature elements of the first tensor; the first arrayof N mask bits consists of consecutively arranged even mask bits and thesecond array of N mask bits consists of consecutively arranged odd maskbits; and the lane of the N lanes of the reconfigurable computing unitis further configured to: right-shift both the first array of N maskbits and the second array of N mask bits by a number of bits based on alane number of the lane of the N lanes of the reconfigurable computingunit to generate a right-shifted even array of mask bits and aright-shifted odd array of mask bits; select, for the correspondingfeature element of the third set of N feature elements, either the zerovalue or the received even feature element of the first set of N featureelements based on a Least Significant Bit (LSB) of the right-shiftedeven array of mask bits; and select, for the corresponding featureelement of the fourth set of feature elements, either the zero value orthe received odd feature element of the second set of N feature elementsbased on a LSB of the right-shifted odd array of mask bits.
 24. The dataprocessing system of claim 19, wherein the reconfigurable computing unitcomprises a compute unit of a Coarse Grain Reconfigurable Architecture(CGRA) processor.
 25. The data processing system of claim 19, furthercomprising: a reconfigurable memory, coupled to the one or more buses,to store the compressed mask; and a host processor coupled to thereconfigurable computing unit and the reconfigurable memory, the hostprocessor configured to: generate a mask comprising at least N maskelements, wherein each mask element of the at least N mask elements haseither a first value or a second value that are each represented using aplurality of bits; respectively compress N mask elements of the at leastN mask elements to generate a corresponding single-bit mask element ofthe first array of N single-bit mask elements of the compressed mask;and store the compressed mask in the reconfigurable memory unit.